59360 has 48 divisors (see below), whose sum is σ = 163296. Its totient is φ = 19968.

The previous prime is 59359. The next prime is 59369. The reversal of 59360 is 6395.

59360 = T₈₅ + T₈₆ + ... + T₉₈.

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 59360.

It is not an unprimeable number, because it can be changed into a prime (59369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1094 + ... + 1146.

It is an arithmetic number, because the mean of its divisors is an integer number (3402).

2⁵⁹³⁶⁰ 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 59360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81648).

59360 is an abundant number, since it is smaller than the sum of its proper divisors (103936).

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

59360 is a wasteful number, since it uses less digits than its factorization.

59360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 59360 is about 243.6390773255. The cubic root of 59360 is about 39.0089832473.

The spelling of 59360 in words is "fifty-nine thousand, three hundred sixty".