10624788 has 36 divisors (see below), whose sum is σ = 27785940. Its totient is φ = 3419136.

The previous prime is 10624787. The next prime is 10624799. The reversal of 10624788 is 88742601.

It can be written as a sum of positive squares in 2 ways, for example, as 6290064 + 4334724 = 2508^2 + 2082^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10624788² = 225772240089888, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10624787) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4045 + ... + 6132.

Almost surely, 2^10624788 is an apocalyptic number.

10624788 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10624788 is an abundant number, since it is smaller than the sum of its proper divisors (17161152).

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

10624788 is a wasteful number, since it uses less digits than its factorization.

10624788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10216 (or 10211 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 10624788 is about 3259.5686831236. The cubic root of 10624788 is about 219.8400214368.

The spelling of 10624788 in words is "ten million, six hundred twenty-four thousand, seven hundred eighty-eight".