51064800 has 72 divisors (see below), whose sum is σ = 166223736. Its totient is φ = 13616640.

The previous prime is 51064789. The next prime is 51064831. The reversal of 51064800 is 846015.

51064800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51064800² = 5215227598080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8239 + ... + 13038.

It is an arithmetic number, because the mean of its divisors is an integer number (2308663).

Almost surely, 2^51064800 is an apocalyptic number.

51064800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51064800 is an abundant number, since it is smaller than the sum of its proper divisors (115158936).

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

51064800 is a wasteful number, since it uses less digits than its factorization.

51064800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21300 (or 21287 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 51064800 is about 7145.9638957946. The cubic root of 51064800 is about 370.9999733606. Note that the first 4 decimals are identical.

The spelling of 51064800 in words is "fifty-one million, sixty-four thousand, eight hundred".