10624 has 16 divisors (see below), whose sum is σ = 21420. Its totient is φ = 5248.

The previous prime is 10613. The next prime is 10627. The reversal of 10624 is 42601.

10624 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×10624^{2} = 225738752, which contains 22 as substring.

It is a hoax number, since the sum of its digits (13) 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 (10627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 87 + ... + 169.

2^{10624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10710).

10624 is an abundant number, since it is smaller than the sum of its proper divisors (10796).

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

10624 is an frugal number, since it uses more digits than its factorization.

10624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 10624 is about 103.0727898138. The cubic root of 10624 is about 21.9834586404.

The spelling of 10624 in words is "ten thousand, six hundred twenty-four".

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