51008688 has 60 divisors (see below), whose sum is σ = 145118688. Its totient is φ = 16721280.

The previous prime is 51008669. The next prime is 51008693. The reversal of 51008688 is 88680015.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5881 + ... + 11687.

Almost surely, 2^51008688 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 51008688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72559344).

51008688 is an abundant number, since it is smaller than the sum of its proper divisors (94110000).

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

51008688 is a wasteful number, since it uses less digits than its factorization.

51008688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882 (or 5873 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 51008688 is about 7142.0366843079. The cubic root of 51008688 is about 370.8640337949.

The spelling of 51008688 in words is "fifty-one million, eight thousand, six hundred eighty-eight".