51322896 has 75 divisors (see below), whose sum is σ = 149293551. Its totient is φ = 17021664.

The previous prime is 51322889. The next prime is 51322897. The reversal of 51322896 is 69822315.

The square root of 51322896 is 7164.

It is a perfect power (a square), and thus also a powerful 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 51322896.

It is not an unprimeable number, because it can be changed into a prime (51322897) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 257805 + ... + 258003.

Almost surely, 2^51322896 is an apocalyptic number.

51322896 is the 7164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51322896

51322896 is an abundant number, since it is smaller than the sum of its proper divisors (97970655).

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

51322896 is an equidigital number, since it uses as much as digits as its factorization.

51322896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 204 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The cubic root of 51322896 is about 371.6239696595.

Multiplying 51322896 by its sum of digits (36), we get a square (1847624256 = 42984²).

51322896 divided by its sum of digits (36) gives a square (1425636 = 1194²).

It can be divided in two parts, 513 and 22896, that added together give a square (23409 = 153²).

The spelling of 51322896 in words is "fifty-one million, three hundred twenty-two thousand, eight hundred ninety-six".