590880 has 48 divisors (see below), whose sum is σ = 1862784. Its totient is φ = 157440.

The previous prime is 590867. The next prime is 590899. The reversal of 590880 is 88095.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 590880.

It is an unprimeable number.

590880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136 + ... + 1095.

It is an arithmetic number, because the mean of its divisors is an integer number (38808).

2⁵⁹⁰⁸⁸⁰ 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 590880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931392).

590880 is an abundant number, since it is smaller than the sum of its proper divisors (1271904).

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

590880 is a wasteful number, since it uses less digits than its factorization.

590880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1241 counting only the distinct ones).

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

The square root of 590880 is about 768.6871925562. The cubic root of 590880 is about 83.9137436566.

The spelling of 590880 in words is "five hundred ninety thousand, eight hundred eighty".