54688320 has 168 divisors, whose sum is σ = 199348344. Its totient is φ = 13713408.

The previous prime is 54688279. The next prime is 54688349. The reversal of 54688320 is 2388645.

54688320 is a `hidden beast` number, since 546 + 88 + 32 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1806336 + 52881984 = 1344^2 + 7272^2 .

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 23 ways as a sum of consecutive naturals, for example, 48402 + ... + 49518.

Almost surely, 2^54688320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99674172).

54688320 is an abundant number, since it is smaller than the sum of its proper divisors (144660024).

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

54688320 is a wasteful number, since it uses less digits than its factorization.

54688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 54688320 is about 7395.1551707858. The cubic root of 54688320 is about 379.5755186201.

The spelling of 54688320 in words is "fifty-four million, six hundred eighty-eight thousand, three hundred twenty".