59057960 has 64 divisors (see below), whose sum is σ = 144320400. Its totient is φ = 21620736.

The previous prime is 59057939. The next prime is 59057987. The reversal of 59057960 is 6975095.

It can be written as a sum of positive squares in 8 ways, for example, as 18887716 + 40170244 = 4346^2 + 6338^2 .

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 70826 + ... + 71654.

Almost surely, 2^59057960 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 59057960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72160200).

59057960 is an abundant number, since it is smaller than the sum of its proper divisors (85262440).

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

59057960 is a wasteful number, since it uses less digits than its factorization.

59057960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 41.

The square root of 59057960 is about 7684.9176963713. The cubic root of 59057960 is about 389.4270790030.

The spelling of 59057960 in words is "fifty-nine million, fifty-seven thousand, nine hundred sixty".