51768960 has 128 divisors (see below), whose sum is σ = 168177600. Its totient is φ = 13541376.

The previous prime is 51768919. The next prime is 51768967. The reversal of 51768960 is 6986715.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (51768967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113052 + ... + 113508.

Almost surely, 2^51768960 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 51768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84088800).

51768960 is an abundant number, since it is smaller than the sum of its proper divisors (116408640).

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

51768960 is a wasteful number, since it uses less digits than its factorization.

51768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 51768960 is about 7195.0649753842. The cubic root of 51768960 is about 372.6975004792.

The spelling of 51768960 in words is "fifty-one million, seven hundred sixty-eight thousand, nine hundred sixty".