988668800 has 384 divisors, whose sum is σ = 3096230400. Its totient is φ = 304128000.

The previous prime is 988668787. The next prime is 988668803. The reversal of 988668800 is 8866889.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (988668803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9788750 + ... + 9788850.

It is an arithmetic number, because the mean of its divisors is an integer number (8063100).

Almost surely, 2^988668800 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 988668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548115200).

988668800 is an abundant number, since it is smaller than the sum of its proper divisors (2107561600).

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

988668800 is a wasteful number, since it uses less digits than its factorization.

988668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 53.

The square root of 988668800 is about 31443.1041724573. The cubic root of 988668800 is about 996.2085766091.

The spelling of 988668800 in words is "nine hundred eighty-eight million, six hundred sixty-eight thousand, eight hundred".