10624320 has 336 divisors, whose sum is σ = 45646848. Its totient is φ = 2211840.

The previous prime is 10624319. The next prime is 10624331. The reversal of 10624320 is 2342601.

It is a happy number.

10624320 is a `hidden beast` number, since 10 + 624 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×10624320² = 225752350924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10624293 and 10624302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342705 + ... + 342735.

Almost surely, 2^10624320 is an apocalyptic number.

10624320 is a gapful number since it is divisible by the number (10) 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 10624320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22823424).

10624320 is an abundant number, since it is smaller than the sum of its proper divisors (35022528).

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

10624320 is a wasteful number, since it uses less digits than its factorization.

10624320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10624320 is about 3259.4968936939. The cubic root of 10624320 is about 219.8367935562.

Adding to 10624320 its reverse (2342601), we get a palindrome (12966921).

The spelling of 10624320 in words is "ten million, six hundred twenty-four thousand, three hundred twenty".