98908800 has 96 divisors (see below), whose sum is σ = 325812480. Its totient is φ = 26373120.

The previous prime is 98908781. The next prime is 98908841. The reversal of 98908800 is 880989.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4449 + ... + 14751.

It is an arithmetic number, because the mean of its divisors is an integer number (3393880).

Almost surely, 2^98908800 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 98908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162906240).

98908800 is an abundant number, since it is smaller than the sum of its proper divisors (226903680).

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

98908800 is a wasteful number, since it uses less digits than its factorization.

98908800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10330 (or 10313 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The square root of 98908800 is about 9945.2903426697. The cubic root of 98908800 is about 462.4644043703.

The spelling of 98908800 in words is "ninety-eight million, nine hundred eight thousand, eight hundred".