998071200 has 864 divisors, whose sum is σ = 4488462720. Its totient is φ = 212889600.

The previous prime is 998071181. The next prime is 998071201. The reversal of 998071200 is 2170899.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×998071200² = 1992292240538880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (998071201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24343180 + ... + 24343220.

It is an arithmetic number, because the mean of its divisors is an integer number (5194980).

Almost surely, 2^998071200 is an apocalyptic number.

998071200 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 998071200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244231360).

998071200 is an abundant number, since it is smaller than the sum of its proper divisors (3490391520).

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

998071200 is a wasteful number, since it uses less digits than its factorization.

998071200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 998071200 is about 31592.2648760737. The cubic root of 998071200 is about 999.3566528599.

The spelling of 998071200 in words is "nine hundred ninety-eight million, seventy-one thousand, two hundred".