598880 has 48 divisors (see below), whose sum is σ = 1496880. Its totient is φ = 225792.

The previous prime is 598877. The next prime is 598883. The reversal of 598880 is 88895.

It is an interprime number because it is at equal distance from previous prime (598877) and next prime (598883).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (598883) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2942 + ... + 3138.

It is an arithmetic number, because the mean of its divisors is an integer number (31185).

2⁵⁹⁸⁸⁸⁰ 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 598880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748440).

598880 is an abundant number, since it is smaller than the sum of its proper divisors (898000).

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

598880 is a wasteful number, since it uses less digits than its factorization.

598880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 38.

The square root of 598880 is about 773.8733746551. The cubic root of 598880 is about 84.2907535872.

The spelling of 598880 in words is "five hundred ninety-eight thousand, eight hundred eighty".