54524160 has 108 divisors (see below), whose sum is σ = 188687772. Its totient is φ = 14536704.

The previous prime is 54524153. The next prime is 54524161. The reversal of 54524160 is 6142545.

It can be written as a sum of positive squares in 2 ways, for example, as 14379264 + 40144896 = 3792^2 + 6336^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (54524161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9154 + ... + 13886.

It is an arithmetic number, because the mean of its divisors is an integer number (1747109).

Almost surely, 2^54524160 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 54524160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94343886).

54524160 is an abundant number, since it is smaller than the sum of its proper divisors (134163612).

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

54524160 is a wasteful number, since it uses less digits than its factorization.

54524160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4760 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 54524160 is about 7384.0476704853. The cubic root of 54524160 is about 379.1953425695.

The spelling of 54524160 in words is "fifty-four million, five hundred twenty-four thousand, one hundred sixty".