989668800 has 336 divisors, whose sum is σ = 3729126400. Its totient is φ = 255052800.

The previous prime is 989668781. The next prime is 989668837. The reversal of 989668800 is 8866989.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1338831 + ... + 1339569.

Almost surely, 2^989668800 is an apocalyptic number.

989668800 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 989668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864563200).

989668800 is an abundant number, since it is smaller than the sum of its proper divisors (2739457600).

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

989668800 is a wasteful number, since it uses less digits than its factorization.

989668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 989668800 is about 31459.0018913506. The cubic root of 989668800 is about 996.5443388279.

The spelling of 989668800 in words is "nine hundred eighty-nine million, six hundred sixty-eight thousand, eight hundred".