59560 has 16 divisors (see below), whose sum is σ = 134100. Its totient is φ = 23808.

The previous prime is 59557. The next prime is 59561. The reversal of 59560 is 6595.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 56644 + 2916 = 238^2 + 54^2 .

It is an Ulam number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59561) by changing a digit.

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, 705 + ... + 784.

2⁵⁹⁵⁶⁰ is an apocalyptic number.

It is an amenable number.

59560 is an abundant number, since it is smaller than the sum of its proper divisors (74540).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67050).

59560 is a wasteful number, since it uses less digits than its factorization.

59560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 25.

The square root of 59560 is about 244.0491753725. The cubic root of 59560 is about 39.0527447640.

The spelling of 59560 in words is "fifty-nine thousand, five hundred sixty".