998568000 has 560 divisors, whose sum is σ = 3912315264. Its totient is φ = 250905600.

The previous prime is 998567993. The next prime is 998568019. The reversal of 998568000 is 865899.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14903967 + ... + 14904033.

Almost surely, 2^998568000 is an apocalyptic number.

998568000 is a gapful number since it is divisible by the number (90) 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 998568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956157632).

998568000 is an abundant number, since it is smaller than the sum of its proper divisors (2913747264).

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

998568000 is a wasteful number, since it uses less digits than its factorization.

998568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 100 counting only the distinct ones).

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

The square root of 998568000 is about 31600.1265820250. The cubic root of 998568000 is about 999.5224386381.

The spelling of 998568000 in words is "nine hundred ninety-eight million, five hundred sixty-eight thousand".