10349820 has 72 divisors (see below), whose sum is σ = 33817056. Its totient is φ = 2547072.

The previous prime is 10349819. The next prime is 10349827. The reversal of 10349820 is 2894301.

10349820 is nontrivially palindromic in base 8.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10349827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129 + ... + 4551.

Almost surely, 2^10349820 is an apocalyptic number.

10349820 is a gapful number since it is divisible by the number (10) 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 10349820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16908528).

10349820 is an abundant number, since it is smaller than the sum of its proper divisors (23467236).

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

10349820 is a wasteful number, since it uses less digits than its factorization.

10349820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4451 (or 4446 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10349820 is about 3217.1136131632. The cubic root of 10349820 is about 217.9269457540.

The spelling of 10349820 in words is "ten million, three hundred forty-nine thousand, eight hundred twenty".