52356960 has 144 divisors (see below), whose sum is σ = 180913824. Its totient is φ = 13787136.

The previous prime is 52356937. The next prime is 52356973. The reversal of 52356960 is 6965325.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148144 + ... + 148496.

It is an arithmetic number, because the mean of its divisors is an integer number (1256346).

Almost surely, 2^52356960 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 52356960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90456912).

52356960 is an abundant number, since it is smaller than the sum of its proper divisors (128556864).

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

52356960 is a wasteful number, since it uses less digits than its factorization.

52356960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 52356960 is about 7235.8109428039. The cubic root of 52356960 is about 374.1032439188.

The spelling of 52356960 in words is "fifty-two million, three hundred fifty-six thousand, nine hundred sixty".