53516960 has 96 divisors (see below), whose sum is σ = 146748672. Its totient is φ = 18063360.

The previous prime is 53516933. The next prime is 53516963. The reversal of 53516960 is 6961535.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 53516960.

It is not an unprimeable number, because it can be changed into a prime (53516963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79184 + ... + 79856.

It is an arithmetic number, because the mean of its divisors is an integer number (1528632).

Almost surely, 2^53516960 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 53516960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73374336).

53516960 is an abundant number, since it is smaller than the sum of its proper divisors (93231712).

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

53516960 is a wasteful number, since it uses less digits than its factorization.

53516960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 35.

The square root of 53516960 is about 7315.5286890286. The cubic root of 53516960 is about 376.8459149815.

The spelling of 53516960 in words is "fifty-three million, five hundred sixteen thousand, nine hundred sixty".