988329600 has 576 divisors, whose sum is σ = 3867252480. Its totient is φ = 248832000.

The previous prime is 988329581. The next prime is 988329611. The reversal of 988329600 is 6923889.

988329600 is a `hidden beast` number, since 9 + 8 + 8 + 32 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24105580 + ... + 24105620.

It is an arithmetic number, because the mean of its divisors is an integer number (6713980).

Almost surely, 2^988329600 is an apocalyptic number.

988329600 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 988329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933626240).

988329600 is an abundant number, since it is smaller than the sum of its proper divisors (2878922880).

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

988329600 is a wasteful number, since it uses less digits than its factorization.

988329600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 988329600 is about 31437.7098402539. The cubic root of 988329600 is about 996.0946346428.

The spelling of 988329600 in words is "nine hundred eighty-eight million, three hundred twenty-nine thousand, six hundred".