989721600 has 396 divisors, whose sum is σ = 3819603744. Its totient is φ = 225361920.

The previous prime is 989721569. The next prime is 989721613. The reversal of 989721600 is 6127989.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3763069 + ... + 3763331.

It is an arithmetic number, because the mean of its divisors is an integer number (9645464).

Almost surely, 2^989721600 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 989721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909801872).

989721600 is an abundant number, since it is smaller than the sum of its proper divisors (2829882144).

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

989721600 is a wasteful number, since it uses less digits than its factorization.

989721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 989721600 is about 31459.8410676214. The cubic root of 989721600 is about 996.5620607854.

The spelling of 989721600 in words is "nine hundred eighty-nine million, seven hundred twenty-one thousand, six hundred".