998592000 has 320 divisors, whose sum is σ = 3799471104. Its totient is φ = 227942400.

The previous prime is 998591999. The next prime is 998592013. The reversal of 998592000 is 295899.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1343629 + ... + 1344371.

Almost surely, 2^998592000 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 998592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899735552).

998592000 is an abundant number, since it is smaller than the sum of its proper divisors (2800879104).

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

998592000 is an equidigital number, since it uses as much as digits as its factorization.

998592000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 998592000 is about 31600.5063250575. The cubic root of 998592000 is about 999.5304462204.

The spelling of 998592000 in words is "nine hundred ninety-eight million, five hundred ninety-two thousand".