51164320 has 48 divisors (see below), whose sum is σ = 122267880. Its totient is φ = 20230144.

The previous prime is 51164317. The next prime is 51164327. The reversal of 51164320 is 2346115.

It can be written as a sum of positive squares in 4 ways, for example, as 28772496 + 22391824 = 5364^2 + 4732^2 .

It is a junction number, because it is equal to n+sod(n) for n = 51164291 and 51164300.

It is not an unprimeable number, because it can be changed into a prime (51164327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12444 + ... + 16036.

Almost surely, 2^51164320 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 51164320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61133940).

51164320 is an abundant number, since it is smaller than the sum of its proper divisors (71103560).

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

51164320 is a wasteful number, since it uses less digits than its factorization.

51164320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3697 (or 3689 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 51164320 is about 7152.9238776881. The cubic root of 51164320 is about 371.2408304522.

The spelling of 51164320 in words is "fifty-one million, one hundred sixty-four thousand, three hundred twenty".