54815160 has 64 divisors (see below), whose sum is σ = 167961600. Its totient is φ = 14304896.

The previous prime is 54815129. The next prime is 54815213. The reversal of 54815160 is 6151845.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 781 + ... + 10499.

It is an arithmetic number, because the mean of its divisors is an integer number (2624400).

Almost surely, 2^54815160 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 54815160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83980800).

54815160 is an abundant number, since it is smaller than the sum of its proper divisors (113146440).

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

54815160 is a wasteful number, since it uses less digits than its factorization.

54815160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9780 (or 9776 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 54815160 is about 7403.7260889366. The cubic root of 54815160 is about 379.8687450658.

The spelling of 54815160 in words is "fifty-four million, eight hundred fifteen thousand, one hundred sixty".