52662960 has 320 divisors, whose sum is σ = 214748160. Its totient is φ = 11757312.

The previous prime is 52662943. The next prime is 52662971. The reversal of 52662960 is 6926625.

52662960 is a `hidden beast` number, since 5 + 26 + 629 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1224699 + ... + 1224741.

It is an arithmetic number, because the mean of its divisors is an integer number (671088).

Almost surely, 2^52662960 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 52662960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107374080).

52662960 is an abundant number, since it is smaller than the sum of its proper divisors (162085200).

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

52662960 is an equidigital number, since it uses as much as digits as its factorization.

52662960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 52662960 is about 7256.9249686076. The cubic root of 52662960 is about 374.8306435272.

The spelling of 52662960 in words is "fifty-two million, six hundred sixty-two thousand, nine hundred sixty".