54577920 has 144 divisors (see below), whose sum is σ = 177926112. Its totient is φ = 14254080.

The previous prime is 54577909. The next prime is 54577921. The reversal of 54577920 is 2977545.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (54577921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234124 + ... + 234356.

It is an arithmetic number, because the mean of its divisors is an integer number (1235598).

Almost surely, 2^54577920 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 54577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88963056).

54577920 is an abundant number, since it is smaller than the sum of its proper divisors (123348192).

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

54577920 is a wasteful number, since it uses less digits than its factorization.

54577920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 54577920 is about 7387.6870534694. The cubic root of 54577920 is about 379.3199285961.

The spelling of 54577920 in words is "fifty-four million, five hundred seventy-seven thousand, nine hundred twenty".