54507960 has 192 divisors, whose sum is σ = 201146400. Its totient is φ = 12690432.

The previous prime is 54507931. The next prime is 54507977. The reversal of 54507960 is 6970545.

It is a super-2 number, since 2×54507960² = 5942235406723200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88614 + ... + 89226.

Almost surely, 2^54507960 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 54507960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100573200).

54507960 is an abundant number, since it is smaller than the sum of its proper divisors (146638440).

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

54507960 is a wasteful number, since it uses less digits than its factorization.

54507960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 54507960 is about 7382.9506296602. The cubic root of 54507960 is about 379.1577838491.

The spelling of 54507960 in words is "fifty-four million, five hundred seven thousand, nine hundred sixty".