989242800 has 240 divisors, whose sum is σ = 3900583680. Its totient is φ = 208696320.

The previous prime is 989242799. The next prime is 989242817. The reversal of 989242800 is 8242989.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104671 + ... + 113729.

It is an arithmetic number, because the mean of its divisors is an integer number (16252432).

Almost surely, 2^989242800 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 989242800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950291840).

989242800 is an abundant number, since it is smaller than the sum of its proper divisors (2911340880).

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

989242800 is a wasteful number, since it uses less digits than its factorization.

989242800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9100 (or 9089 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 989242800 is about 31452.2304455503. The cubic root of 989242800 is about 996.4013317885.

The spelling of 989242800 in words is "nine hundred eighty-nine million, two hundred forty-two thousand, eight hundred".