54660960 has 96 divisors (see below), whose sum is σ = 191328480. Its totient is φ = 14575104.

The previous prime is 54660917. The next prime is 54660979. The reversal of 54660960 is 6906645.

It is a happy number.

54660960 is a `hidden beast` number, since 5 + 46 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2007 + ... + 10646.

It is an arithmetic number, because the mean of its divisors is an integer number (1993005).

Almost surely, 2^54660960 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 54660960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95664240).

54660960 is an abundant number, since it is smaller than the sum of its proper divisors (136667520).

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

54660960 is a wasteful number, since it uses less digits than its factorization.

54660960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12677 (or 12663 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 54660960 is about 7393.3050795974. The cubic root of 54660960 is about 379.5122088278.

The spelling of 54660960 in words is "fifty-four million, six hundred sixty thousand, nine hundred sixty".