989965800 has 240 divisors, whose sum is σ = 3506209740. Its totient is φ = 258785280.

The previous prime is 989965783. The next prime is 989965843. The reversal of 989965800 is 8569989.

989965800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 619711236 + 370254564 = 24894^2 + 19242^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 858024 + ... + 859176.

Almost surely, 2^989965800 is an apocalyptic number.

989965800 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 989965800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753104870).

989965800 is an abundant number, since it is smaller than the sum of its proper divisors (2516243940).

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

989965800 is a wasteful number, since it uses less digits than its factorization.

989965800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The square root of 989965800 is about 31463.7219667350. The cubic root of 989965800 is about 996.6440166414.

The spelling of 989965800 in words is "nine hundred eighty-nine million, nine hundred sixty-five thousand, eight hundred".