54368352 has 36 divisors (see below), whose sum is σ = 154610820. Its totient is φ = 18122688.

The previous prime is 54368339. The next prime is 54368381. The reversal of 54368352 is 25386345.

It is a happy number.

54368352 is a `hidden beast` number, since 543 + 68 + 3 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

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, 94102 + ... + 94677.

It is an arithmetic number, because the mean of its divisors is an integer number (4294745).

Almost surely, 2^54368352 is an apocalyptic number.

It is an amenable number.

54368352 is an abundant number, since it is smaller than the sum of its proper divisors (100242468).

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

54368352 is a wasteful number, since it uses less digits than its factorization.

54368352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188795 (or 188784 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 54368352 is about 7373.4898114800. The cubic root of 54368352 is about 378.8338023237.

The spelling of 54368352 in words is "fifty-four million, three hundred sixty-eight thousand, three hundred fifty-two".