51884064 has 120 divisors (see below), whose sum is σ = 157003308. Its totient is φ = 16796160.

The previous prime is 51884029. The next prime is 51884071. The reversal of 51884064 is 46048815.

51884064 is a `hidden beast` number, since 518 + 84 + 0 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50296464 + 1587600 = 7092^2 + 1260^2 .

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 19 ways as a sum of consecutive naturals, for example, 95634 + ... + 96174.

Almost surely, 2^51884064 is an apocalyptic number.

51884064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51884064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78501654).

51884064 is an abundant number, since it is smaller than the sum of its proper divisors (105119244).

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

51884064 is a wasteful number, since it uses less digits than its factorization.

51884064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 51884064 is about 7203.0593500262. The cubic root of 51884064 is about 372.9735167008.

The spelling of 51884064 in words is "fifty-one million, eight hundred eighty-four thousand, sixty-four".