54516384 has 72 divisors (see below), whose sum is σ = 166967892. Its totient is φ = 16773120.

The previous prime is 54516379. The next prime is 54516391. The reversal of 54516384 is 48361545.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 54464400 + 51984 = 7380^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×54516384³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3537 + ... + 11024.

Almost surely, 2^54516384 is an apocalyptic number.

It is an amenable number.

54516384 is an abundant number, since it is smaller than the sum of its proper divisors (112451508).

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

54516384 is a wasteful number, since it uses less digits than its factorization.

54516384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14590 (or 14579 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 54516384 is about 7383.5211112314. The cubic root of 54516384 is about 379.1773153123.

The spelling of 54516384 in words is "fifty-four million, five hundred sixteen thousand, three hundred eighty-four".