51587680 has 48 divisors (see below), whose sum is σ = 122308704. Its totient is φ = 20561920.

The previous prime is 51587671. The next prime is 51587681. The reversal of 51587680 is 8678515.

It is a super-2 number, since 2×51587680² = 5322577455564800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51587681) 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, 80160 + ... + 80800.

It is an arithmetic number, because the mean of its divisors is an integer number (2548098).

Almost surely, 2^51587680 is an apocalyptic number.

It is an amenable number.

51587680 is an abundant number, since it is smaller than the sum of its proper divisors (70721024).

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

51587680 is a wasteful number, since it uses less digits than its factorization.

51587680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 40.

The square root of 51587680 is about 7182.4564043230. The cubic root of 51587680 is about 372.2619652456.

The spelling of 51587680 in words is "fifty-one million, five hundred eighty-seven thousand, six hundred eighty".