54795520 has 144 divisors (see below), whose sum is σ = 146800080. Its totient is φ = 19464192.

The previous prime is 54795497. The next prime is 54795523. The reversal of 54795520 is 2559745.

It can be written as a sum of positive squares in 8 ways, for example, as 2262016 + 52533504 = 1504^2 + 7248^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 54795520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54795523) 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, 615636 + ... + 615724.

It is an arithmetic number, because the mean of its divisors is an integer number (1019445).

Almost surely, 2^54795520 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 54795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73400040).

54795520 is an abundant number, since it is smaller than the sum of its proper divisors (92004560).

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

54795520 is a wasteful number, since it uses less digits than its factorization.

54795520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 37.

The square root of 54795520 is about 7402.3996109370. The cubic root of 54795520 is about 379.8233712838.

The spelling of 54795520 in words is "fifty-four million, seven hundred ninety-five thousand, five hundred twenty".