988364800 has 180 divisors, whose sum is σ = 2600389120. Its totient is φ = 371589120.

The previous prime is 988364791. The next prime is 988364807. The reversal of 988364800 is 8463889.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (988364807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7782337 + ... + 7782463.

Almost surely, 2^988364800 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 988364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300194560).

988364800 is an abundant number, since it is smaller than the sum of its proper divisors (1612024320).

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

988364800 is a wasteful number, since it uses less digits than its factorization.

988364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 988364800 is about 31438.2696724867. The cubic root of 988364800 is about 996.1064600213.

The spelling of 988364800 in words is "nine hundred eighty-eight million, three hundred sixty-four thousand, eight hundred".