598368 has 48 divisors (see below), whose sum is σ = 1645056. Its totient is φ = 190080.

The previous prime is 598363. The next prime is 598369. The reversal of 598368 is 863895.

It is a tau number, because it is divible by the number of its divisors (48).

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 598368.

It is not an unprimeable number, because it can be changed into a prime (598363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2073 + ... + 2343.

It is an arithmetic number, because the mean of its divisors is an integer number (34272).

2⁵⁹⁸³⁶⁸ 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 598368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822528).

598368 is an abundant number, since it is smaller than the sum of its proper divisors (1046688).

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

598368 is a wasteful number, since it uses less digits than its factorization.

598368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 299 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 598368 is about 773.5425004484. The cubic root of 598368 is about 84.2667258630.

The spelling of 598368 in words is "five hundred ninety-eight thousand, three hundred sixty-eight".