53976960 has 96 divisors (see below), whose sum is σ = 186409080. Its totient is φ = 14392320.

The previous prime is 53976947. The next prime is 53976977. The reversal of 53976960 is 6967935.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1075 + ... + 10445.

Almost surely, 2^53976960 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 53976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93204540).

53976960 is an abundant number, since it is smaller than the sum of its proper divisors (132432120).

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

53976960 is a wasteful number, since it uses less digits than its factorization.

53976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9396 (or 9381 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 53976960 is about 7346.9013876600. The cubic root of 53976960 is about 377.9225506898.

The spelling of 53976960 in words is "fifty-three million, nine hundred seventy-six thousand, nine hundred sixty".