10649376 has 72 divisors (see below), whose sum is σ = 30663360. Its totient is φ = 3505536.

The previous prime is 10649369. The next prime is 10649393. The reversal of 10649376 is 67394601.

10649376 = T₂₁₃ + T₂₁₄ + ... + T₄₁₈.

10649376 is a `hidden beast` number, since 1 + 0 + 649 + 3 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10649376² = 226818418378752, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10649376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29485 + ... + 29843.

It is an arithmetic number, because the mean of its divisors is an integer number (425880).

Almost surely, 2^10649376 is an apocalyptic number.

10649376 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 10649376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15331680).

10649376 is an abundant number, since it is smaller than the sum of its proper divisors (20013984).

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

10649376 is a wasteful number, since it uses less digits than its factorization.

10649376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 10649376 is about 3263.3381681953. The cubic root of 10649376 is about 220.0094761758.

It can be divided in two parts, 10649 and 376, that added together give a square (11025 = 105²).

The spelling of 10649376 in words is "ten million, six hundred forty-nine thousand, three hundred seventy-six".