10624632 has 32 divisors (see below), whose sum is σ = 27129600. Its totient is φ = 3465824.

The previous prime is 10624619. The next prime is 10624633. The reversal of 10624632 is 23642601.

It is a super-2 number, since 2×10624632² = 225765610270848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10624633) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3582 + ... + 5837.

It is an arithmetic number, because the mean of its divisors is an integer number (847800).

Almost surely, 2^10624632 is an apocalyptic number.

10624632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10624632 is an abundant number, since it is smaller than the sum of its proper divisors (16504968).

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

10624632 is a wasteful number, since it uses less digits than its factorization.

10624632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9475 (or 9471 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 10624632 is about 3259.5447534894. The cubic root of 10624632 is about 219.8389454871.

The spelling of 10624632 in words is "ten million, six hundred twenty-four thousand, six hundred thirty-two".