51584688 has 100 divisors (see below), whose sum is σ = 152320608. Its totient is φ = 16848000.

The previous prime is 51584671. The next prime is 51584693. The reversal of 51584688 is 88648515.

51584688 is a `hidden beast` number, since 5 + 1 + 584 + 68 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68313 + ... + 69063.

Almost surely, 2^51584688 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 51584688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76160304).

51584688 is an abundant number, since it is smaller than the sum of its proper divisors (100735920).

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

51584688 is a wasteful number, since it uses less digits than its factorization.

51584688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 809 counting only the distinct ones).

The product of its digits is 307200, while the sum is 45.

The square root of 51584688 is about 7182.2481160149. The cubic root of 51584688 is about 372.2547682473.

The spelling of 51584688 in words is "fifty-one million, five hundred eighty-four thousand, six hundred eighty-eight".