598688 has 24 divisors (see below), whose sum is σ = 1204308. Its totient is φ = 292864.

The previous prime is 598687. The next prime is 598691. The reversal of 598688 is 886895.

It can be written as a sum of positive squares in 2 ways, for example, as 595984 + 2704 = 772^2 + 52^2 .

It is not an unprimeable number, because it can be changed into a prime (598681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1520 + ... + 1872.

2⁵⁹⁸⁶⁸⁸ 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 598688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602154).

598688 is an abundant number, since it is smaller than the sum of its proper divisors (605620).

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

598688 is a wasteful number, since it uses less digits than its factorization.

598688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 408 counting only the distinct ones).

The product of its digits is 138240, while the sum is 44.

The square root of 598688 is about 773.7493134084. The cubic root of 598688 is about 84.2817447960.

The spelling of 598688 in words is "five hundred ninety-eight thousand, six hundred eighty-eight".