54682880 has 144 divisors (see below), whose sum is σ = 158941440. Its totient is φ = 17596416.

The previous prime is 54682871. The next prime is 54682939. The reversal of 54682880 is 8828645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152141 + ... + 152499.

It is an arithmetic number, because the mean of its divisors is an integer number (1103760).

Almost surely, 2^54682880 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 54682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79470720).

54682880 is an abundant number, since it is smaller than the sum of its proper divisors (104258560).

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

54682880 is a wasteful number, since it uses less digits than its factorization.

54682880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 41.

The square root of 54682880 is about 7394.7873532645. The cubic root of 54682880 is about 379.5629323903.

The spelling of 54682880 in words is "fifty-four million, six hundred eighty-two thousand, eight hundred eighty".