54362880 has 432 divisors, whose sum is σ = 228355680. Its totient is φ = 12165120.

The previous prime is 54362851. The next prime is 54362899. The reversal of 54362880 is 8826345.

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 4181754 + ... + 4181766.

Almost surely, 2^54362880 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 54362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114177840).

54362880 is an abundant number, since it is smaller than the sum of its proper divisors (173992800).

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

54362880 is a wasteful number, since it uses less digits than its factorization.

54362880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 34 counting only the distinct ones).

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

The square root of 54362880 is about 7373.1187431100. The cubic root of 54362880 is about 378.8210924289.

The spelling of 54362880 in words is "fifty-four million, three hundred sixty-two thousand, eight hundred eighty".