59560960 has 44 divisors (see below), whose sum is σ = 142888788. Its totient is φ = 23822336.

The previous prime is 59560939. The next prime is 59560967. The reversal of 59560960 is 6906595.

It can be written as a sum of positive squares in 2 ways, for example, as 31002624 + 28558336 = 5568^2 + 5344^2 .

It is a super-2 number, since 2×59560960² = 7095015912243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59560967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 697 + ... + 10936.

Almost surely, 2^59560960 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 59560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71444394).

59560960 is an abundant number, since it is smaller than the sum of its proper divisors (83327828).

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

59560960 is a wasteful number, since it uses less digits than its factorization.

59560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11658 (or 11640 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 40.

The square root of 59560960 is about 7717.5747485852. The cubic root of 59560960 is about 390.5295458285.

The spelling of 59560960 in words is "fifty-nine million, five hundred sixty thousand, nine hundred sixty".