51724864 has 63 divisors (see below), whose sum is σ = 109842681. Its totient is φ = 24165120.

The previous prime is 51724847. The next prime is 51724879. The reversal of 51724864 is 46842715.

The square root of 51724864 is 7192.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 27123264 + 24601600 = 5208^2 + 4960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1668529 + ... + 1668559.

Almost surely, 2^51724864 is an apocalyptic number.

51724864 is the 7192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51724864

51724864 is an abundant number, since it is smaller than the sum of its proper divisors (58117817).

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

51724864 is an equidigital number, since it uses as much as digits as its factorization.

51724864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 62 counting only the distinct ones).

The product of its digits is 53760, while the sum is 37.

The cubic root of 51724864 is about 372.5916510964.

The spelling of 51724864 in words is "fifty-one million, seven hundred twenty-four thousand, eight hundred sixty-four".