989398800 has 540 divisors, whose sum is σ = 3972024420. Its totient is φ = 235146240.

The previous prime is 989398763. The next prime is 989398801. The reversal of 989398800 is 8893989.

It can be written as a sum of positive squares in 6 ways, for example, as 100881936 + 888516864 = 10044^2 + 29808^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (989398801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 34117186 + ... + 34117214.

Almost surely, 2^989398800 is an apocalyptic number.

989398800 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 989398800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986012210).

989398800 is an abundant number, since it is smaller than the sum of its proper divisors (2982625620).

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

989398800 is a wasteful number, since it uses less digits than its factorization.

989398800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 989398800 is about 31454.7102990951. The cubic root of 989398800 is about 996.4537053271.

The spelling of 989398800 in words is "nine hundred eighty-nine million, three hundred ninety-eight thousand, eight hundred".