598200 has 48 divisors (see below), whose sum is σ = 1856280. Its totient is φ = 159360.

The previous prime is 598193. The next prime is 598219. The reversal of 598200 is 2895.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 598200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102 + ... + 1098.

2⁵⁹⁸²⁰⁰ is an apocalyptic number.

598200 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 598200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928140).

598200 is an abundant number, since it is smaller than the sum of its proper divisors (1258080).

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

598200 is a wasteful number, since it uses less digits than its factorization.

598200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 598200 is about 773.4339015068. The cubic root of 598200 is about 84.2588387795.

The spelling of 598200 in words is "five hundred ninety-eight thousand, two hundred".