54920880 has 240 divisors, whose sum is σ = 223539264. Its totient is φ = 11796480.

The previous prime is 54920857. The next prime is 54920881. The reversal of 54920880 is 8802945.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (54920881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85360 + ... + 86000.

Almost surely, 2^54920880 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 54920880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111769632).

54920880 is an abundant number, since it is smaller than the sum of its proper divisors (168618384).

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

54920880 is a wasteful number, since it uses less digits than its factorization.

54920880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 54920880 is about 7410.8622980055. The cubic root of 54920880 is about 380.1128012305.

The spelling of 54920880 in words is "fifty-four million, nine hundred twenty thousand, eight hundred eighty".