598800 has 60 divisors (see below), whose sum is σ = 1922000. Its totient is φ = 159360.

The previous prime is 598799. The next prime is 598817. The reversal of 598800 is 8895.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×598800² = 717122880000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 951 + ... + 1449.

2⁵⁹⁸⁸⁰⁰ is an apocalyptic number.

598800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 598800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961000).

598800 is an abundant number, since it is smaller than the sum of its proper divisors (1323200).

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

598800 is a wasteful number, since it uses less digits than its factorization.

598800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 509 counting only the distinct ones).

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

The square root of 598800 is about 773.8216848861. The cubic root of 598800 is about 84.2870001582.

The spelling of 598800 in words is "five hundred ninety-eight thousand, eight hundred".