54876564 has 18 divisors (see below), whose sum is σ = 138715850. Its totient is φ = 18292176.

The previous prime is 54876559. The next prime is 54876581. The reversal of 54876564 is 46567845.

54876564 is a `hidden beast` number, since 5 + 4 + 87 + 6 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 54464400 + 412164 = 7380^2 + 642^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×54876564² = 6022874552892192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 762139 + ... + 762210.

Almost surely, 2^54876564 is an apocalyptic number.

It is an amenable number.

54876564 is an abundant number, since it is smaller than the sum of its proper divisors (83839286).

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

54876564 is a wasteful number, since it uses less digits than its factorization.

54876564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524359 (or 1524354 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 54876564 is about 7407.8717591492. The cubic root of 54876564 is about 380.0105352573.

The spelling of 54876564 in words is "fifty-four million, eight hundred seventy-six thousand, five hundred sixty-four".