598800960 has 336 divisors, whose sum is σ = 2244303360. Its totient is φ = 145981440.

The previous prime is 598800959. The next prime is 598800973. The reversal of 598800960 is 69008895.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1696144 + ... + 1696496.

Almost surely, 2^598800960 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 598800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122151680).

598800960 is an abundant number, since it is smaller than the sum of its proper divisors (1645502400).

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

598800960 is a wasteful number, since it uses less digits than its factorization.

598800960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 598800960 is about 24470.4098862279. The cubic root of 598800960 is about 842.8704520135.

The spelling of 598800960 in words is "five hundred ninety-eight million, eight hundred thousand, nine hundred sixty".