989241600 has 216 divisors, whose sum is σ = 3317739040. Its totient is φ = 259522560.

The previous prime is 989241557. The next prime is 989241601. The reversal of 989241600 is 6142989.

It is not an unprimeable number, because it can be changed into a prime (989241601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1286016 + ... + 1286784.

Almost surely, 2^989241600 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 989241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658869520).

989241600 is an abundant number, since it is smaller than the sum of its proper divisors (2328497440).

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

989241600 is a wasteful number, since it uses less digits than its factorization.

989241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 989241600 is about 31452.2113689960. The cubic root of 989241600 is about 996.4009288938.

The spelling of 989241600 in words is "nine hundred eighty-nine million, two hundred forty-one thousand, six hundred".