51624756 has 96 divisors (see below), whose sum is σ = 141523200. Its totient is φ = 16248960.

The previous prime is 51624721. The next prime is 51624787. The reversal of 51624756 is 65742615.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 51624756.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165841 + ... + 166151.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2^51624756 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 51624756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

51624756 is an abundant number, since it is smaller than the sum of its proper divisors (89898444).

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

51624756 is a wasteful number, since it uses less digits than its factorization.

51624756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 398 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 51624756 is about 7185.0369518883. The cubic root of 51624756 is about 372.3511252896.

The spelling of 51624756 in words is "fifty-one million, six hundred twenty-four thousand, seven hundred fifty-six".