10349856 has 144 divisors (see below), whose sum is σ = 33572448. Its totient is φ = 3136320.

The previous prime is 10349849. The next prime is 10349863. The reversal of 10349856 is 65894301.

10349856 = T₁₆₃ + T₁₆₄ + ... + T₄₀₄.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10349856 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10349849) and next prime (10349863).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 10349856.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 940891 + ... + 940901.

It is an arithmetic number, because the mean of its divisors is an integer number (233142).

Almost surely, 2^10349856 is an apocalyptic number.

10349856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10349856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16786224).

10349856 is an abundant number, since it is smaller than the sum of its proper divisors (23222592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10349856 is an frugal number, since it uses more digits than its factorization.

10349856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 10349856 is about 3217.1192082358. The cubic root of 10349856 is about 217.9271984270.

10349856 divided by its sum of digits (36) gives a cube (287496 = 66³).

It can be divided in two parts, 10 and 349856, that added together give a triangular number (349866 = T₈₃₆).

The spelling of 10349856 in words is "ten million, three hundred forty-nine thousand, eight hundred fifty-six".