52986960 has 400 divisors, whose sum is σ = 215517456. Its totient is φ = 11943936.

The previous prime is 52986949. The next prime is 52986961. The reversal of 52986960 is 6968925.

52986960 = 82³ + 83³ + ... + 126³.

52986960 is a `hidden beast` number, since 529 + 8 + 69 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 627264 + 52359696 = 792^2 + 7236^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52986961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1432062 + ... + 1432098.

Almost surely, 2^52986960 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 52986960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107758728).

52986960 is an abundant number, since it is smaller than the sum of its proper divisors (162530496).

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

52986960 is a wasteful number, since it uses less digits than its factorization.

52986960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 52986960 is about 7279.2142433095. The cubic root of 52986960 is about 375.5977666272.

The spelling of 52986960 in words is "fifty-two million, nine hundred eighty-six thousand, nine hundred sixty".