54585664 has 28 divisors (see below), whose sum is σ = 123793504. Its totient is φ = 23393664.

The previous prime is 54585653. The next prime is 54585673. The reversal of 54585664 is 46658545.

It is a tau number, because it is divible by the number of its divisors (28).

It is a self number, because there is not a number n which added to its sum of digits gives 54585664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60474 + ... + 61369.

Almost surely, 2^54585664 is an apocalyptic number.

It is an amenable number.

54585664 is an abundant number, since it is smaller than the sum of its proper divisors (69207840).

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

54585664 is a wasteful number, since it uses less digits than its factorization.

54585664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121862 (or 121852 counting only the distinct ones).

The product of its digits is 576000, while the sum is 43.

The square root of 54585664 is about 7388.2111502041. The cubic root of 54585664 is about 379.3378681744.

The spelling of 54585664 in words is "fifty-four million, five hundred eighty-five thousand, six hundred sixty-four".