10624896 has 96 divisors (see below), whose sum is σ = 31983120. Its totient is φ = 3379200.

The previous prime is 10624877. The next prime is 10624921. The reversal of 10624896 is 69842601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10624896² = 225776830021632, 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 10624896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26296 + ... + 26696.

Almost surely, 2^10624896 is an apocalyptic number.

10624896 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 10624896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15991560).

10624896 is an abundant number, since it is smaller than the sum of its proper divisors (21358224).

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

10624896 is a wasteful number, since it uses less digits than its factorization.

10624896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 10624896 is about 3259.5852496905. The cubic root of 10624896 is about 219.8407663188.

The spelling of 10624896 in words is "ten million, six hundred twenty-four thousand, eight hundred ninety-six".