54585684 has 48 divisors (see below), whose sum is σ = 141917440. Its totient is φ = 18144000.

The previous prime is 54585673. The next prime is 54585701. The reversal of 54585684 is 48658545.

54585684 is a `hidden beast` number, since 5 + 4 + 585 + 68 + 4 = 666.

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, 72309 + ... + 73059.

Almost surely, 2^54585684 is an apocalyptic number.

54585684 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

54585684 is an abundant number, since it is smaller than the sum of its proper divisors (87331756).

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

54585684 is a wasteful number, since it uses less digits than its factorization.

54585684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1429 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The square root of 54585684 is about 7388.2125037116. The cubic root of 54585684 is about 379.3379145037.

The spelling of 54585684 in words is "fifty-four million, five hundred eighty-five thousand, six hundred eighty-four".