59088 has 20 divisors (see below), whose sum is σ = 152768. Its totient is φ = 19680.

The previous prime is 59083. The next prime is 59093. The reversal of 59088 is 88095.

59088 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (59083) and next prime (59093).

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 59088.

It is not an unprimeable number, because it can be changed into a prime (59083) 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, 568 + ... + 663.

2⁵⁹⁰⁸⁸ is an apocalyptic number.

It is an amenable number.

59088 is an abundant number, since it is smaller than the sum of its proper divisors (93680).

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 (76384).

59088 is a wasteful number, since it uses less digits than its factorization.

59088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 59088 is about 243.0802336678. The cubic root of 59088 is about 38.9493095543.

The spelling of 59088 in words is "fifty-nine thousand, eighty-eight".