51840864 has 96 divisors (see below), whose sum is σ = 156492000. Its totient is φ = 16676352.

The previous prime is 51840857. The next prime is 51840883. The reversal of 51840864 is 46804815.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 24022 + ... + 26090.

It is an arithmetic number, because the mean of its divisors is an integer number (1630125).

Almost surely, 2^51840864 is an apocalyptic number.

51840864 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 51840864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78246000).

51840864 is an abundant number, since it is smaller than the sum of its proper divisors (104651136).

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

51840864 is a wasteful number, since it uses less digits than its factorization.

51840864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2103 counting only the distinct ones).

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

The square root of 51840864 is about 7200.0599997500. The cubic root of 51840864 is about 372.8699721913.

The spelling of 51840864 in words is "fifty-one million, eight hundred forty thousand, eight hundred sixty-four".