53160 has 32 divisors (see below), whose sum is σ = 159840. Its totient is φ = 14144.

The previous prime is 53149. The next prime is 53161. The reversal of 53160 is 6135.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53160.

It is not an unprimeable number, because it can be changed into a prime (53161) by changing a digit.

53160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102 + ... + 341.

It is an arithmetic number, because the mean of its divisors is an integer number (4995).

2⁵³¹⁶⁰ is an apocalyptic number.

It is an amenable number.

53160 is an abundant number, since it is smaller than the sum of its proper divisors (106680).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79920).

53160 is a wasteful number, since it uses less digits than its factorization.

53160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 53160 is about 230.5645245913. The cubic root of 53160 is about 37.6006186710.

Adding to 53160 its reverse (6135), we get a palindrome (59295).

The spelling of 53160 in words is "fifty-three thousand, one hundred sixty".