51664464 has 60 divisors (see below), whose sum is σ = 145080000. Its totient is φ = 17163072.

The previous prime is 51664451. The next prime is 51664517. The reversal of 51664464 is 46446615.

51664464 is a `hidden beast` number, since 5 + 1 + 6 + 644 + 6 + 4 = 666.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71497 + ... + 72215.

It is an arithmetic number, because the mean of its divisors is an integer number (2418000).

Almost surely, 2^51664464 is an apocalyptic number.

It is an amenable number.

51664464 is an abundant number, since it is smaller than the sum of its proper divisors (93415536).

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

51664464 is a wasteful number, since it uses less digits than its factorization.

51664464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1223 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 51664464 is about 7187.7996633184. The cubic root of 51664464 is about 372.4465674150.

It can be divided in two parts, 516 and 64464, that added together give a triangular number (64980 = T₃₆₀).

The spelling of 51664464 in words is "fifty-one million, six hundred sixty-four thousand, four hundred sixty-four".