59965952 has 40 divisors (see below), whose sum is σ = 120685356. Its totient is φ = 29765632.

The previous prime is 59965943. The next prime is 59965973. The reversal of 59965952 is 25956995.

It can be written as a sum of positive squares in 2 ways, for example, as 41165056 + 18800896 = 6416^2 + 4336^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 59965952.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 88238 + ... + 88914.

Almost surely, 2^59965952 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 59965952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60342678).

59965952 is an abundant number, since it is smaller than the sum of its proper divisors (60719404).

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

59965952 is an equidigital number, since it uses as much as digits as its factorization.

59965952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 852 counting only the distinct ones).

The product of its digits is 1093500, while the sum is 50.

The square root of 59965952 is about 7743.7685915838. The cubic root of 59965952 is about 391.4126982088.

The spelling of 59965952 in words is "fifty-nine million, nine hundred sixty-five thousand, nine hundred fifty-two".