59952960 has 196 divisors, whose sum is σ = 214879428. Its totient is φ = 15925248.

The previous prime is 59952953. The next prime is 59952967. The reversal of 59952960 is 6925995.

59952960 is a `hidden beast` number, since 599 + 52 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (59952953) and next prime (59952967).

It can be written as a sum of positive squares in 2 ways, for example, as 44836416 + 15116544 = 6696^2 + 3888^2 .

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

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59952967) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 233152 + ... + 233408.

Almost surely, 2^59952960 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 59952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107439714).

59952960 is an abundant number, since it is smaller than the sum of its proper divisors (154926468).

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

59952960 is an equidigital number, since it uses as much as digits as its factorization.

59952960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 59952960 is about 7742.9296780999. The cubic root of 59952960 is about 391.3844288276.

The spelling of 59952960 in words is "fifty-nine million, nine hundred fifty-two thousand, nine hundred sixty".