54086304 has 48 divisors (see below), whose sum is σ = 145823328. Its totient is φ = 17540352.

The previous prime is 54086297. The next prime is 54086311. The reversal of 54086304 is 40368045.

It is an interprime number because it is at equal distance from previous prime (54086297) and next prime (54086311).

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 4062 + ... + 11165.

It is an arithmetic number, because the mean of its divisors is an integer number (3037986).

Almost surely, 2^54086304 is an apocalyptic number.

It is an amenable number.

54086304 is an abundant number, since it is smaller than the sum of its proper divisors (91737024).

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

54086304 is a wasteful number, since it uses less digits than its factorization.

54086304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15277 (or 15269 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 54086304 is about 7354.3391273452. The cubic root of 54086304 is about 378.1775711712.

The spelling of 54086304 in words is "fifty-four million, eighty-six thousand, three hundred four".