998265600 has 432 divisors, whose sum is σ = 3763821600. Its totient is φ = 258785280.

The previous prime is 998265553. The next prime is 998265647. The reversal of 998265600 is 6562899.

998265600 is a `hidden beast` number, since 9 + 9 + 82 + 6 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (998265553) and next prime (998265647).

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 9158346 + ... + 9158454.

It is an arithmetic number, because the mean of its divisors is an integer number (8712550).

Almost surely, 2^998265600 is an apocalyptic number.

998265600 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 998265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881910800).

998265600 is an abundant number, since it is smaller than the sum of its proper divisors (2765556000).

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

998265600 is a wasteful number, since it uses less digits than its factorization.

998265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 998265600 is about 31595.3414287613. The cubic root of 998265600 is about 999.4215321061.

The spelling of 998265600 in words is "nine hundred ninety-eight million, two hundred sixty-five thousand, six hundred".