51624720 has 120 divisors (see below), whose sum is σ = 198159936. Its totient is φ = 11798784.

The previous prime is 51624707. The next prime is 51624721. The reversal of 51624720 is 2742615.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×51624720² = 5330223430156800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (51624721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82 + ... + 10161.

Almost surely, 2^51624720 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 51624720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99079968).

51624720 is an abundant number, since it is smaller than the sum of its proper divisors (146535216).

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

51624720 is a wasteful number, since it uses less digits than its factorization.

51624720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10269 (or 10260 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 51624720 is about 7185.0344466815. The cubic root of 51624720 is about 372.3510387378.

The spelling of 51624720 in words is "fifty-one million, six hundred twenty-four thousand, seven hundred twenty".