51038640 has 80 divisors (see below), whose sum is σ = 175807200. Its totient is φ = 13609728.

The previous prime is 51038623. The next prime is 51038677. The reversal of 51038640 is 4683015.

51038640 is a `hidden beast` number, since 5 + 10 + 3 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9655 + ... + 13974.

It is an arithmetic number, because the mean of its divisors is an integer number (2197590).

Almost surely, 2^51038640 is an apocalyptic number.

It is an amenable number.

51038640 is an abundant number, since it is smaller than the sum of its proper divisors (124768560).

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

51038640 is a wasteful number, since it uses less digits than its factorization.

51038640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23651 (or 23639 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 51038640 is about 7144.1332574358. The cubic root of 51038640 is about 370.9366093141.

The spelling of 51038640 in words is "fifty-one million, thirty-eight thousand, six hundred forty".