54520960 has 64 divisors (see below), whose sum is σ = 140386680. Its totient is φ = 20127744.

The previous prime is 54520951. The next prime is 54520967. The reversal of 54520960 is 6902545.

It can be written as a sum of positive squares in 4 ways, for example, as 29680704 + 24840256 = 5448^2 + 4984^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (54520967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5044 + ... + 11596.

Almost surely, 2^54520960 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 54520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70193340).

54520960 is an abundant number, since it is smaller than the sum of its proper divisors (85865720).

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

54520960 is a wasteful number, since it uses less digits than its factorization.

54520960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6585 (or 6573 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 54520960 is about 7383.8309839811. The cubic root of 54520960 is about 379.1879241527.

The spelling of 54520960 in words is "fifty-four million, five hundred twenty thousand, nine hundred sixty".