598080 has 112 divisors (see below), whose sum is σ = 2194560. Its totient is φ = 135168.

The previous prime is 598079. The next prime is 598093. The reversal of 598080 is 80895.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6676 + ... + 6764.

2⁵⁹⁸⁰⁸⁰ 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 598080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097280).

598080 is an abundant number, since it is smaller than the sum of its proper divisors (1596480).

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

598080 is a wasteful number, since it uses less digits than its factorization.

598080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 106 counting only the distinct ones).

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

The square root of 598080 is about 773.3563214974. The cubic root of 598080 is about 84.2532042443.

The spelling of 598080 in words is "five hundred ninety-eight thousand, eighty".