51584016 has 80 divisors (see below), whose sum is σ = 146562048. Its totient is φ = 15504000.

The previous prime is 51584003. The next prime is 51584053. The reversal of 51584016 is 61048515.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79405 + ... + 80051.

Almost surely, 2^51584016 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 51584016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73281024).

51584016 is an abundant number, since it is smaller than the sum of its proper divisors (94978032).

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

51584016 is a wasteful number, since it uses less digits than its factorization.

51584016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 51584016 is about 7182.2013338530. The cubic root of 51584016 is about 372.2531517709.

The spelling of 51584016 in words is "fifty-one million, five hundred eighty-four thousand, sixteen".