98968320 has 324 divisors, whose sum is σ = 381680208. Its totient is φ = 23654400.

The previous prime is 98968319. The next prime is 98968361. The reversal of 98968320 is 2386989.

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 35 ways as a sum of consecutive naturals, for example, 1393885 + ... + 1393955.

Almost surely, 2^98968320 is an apocalyptic number.

98968320 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 98968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190840104).

98968320 is an abundant number, since it is smaller than the sum of its proper divisors (282711888).

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

98968320 is a wasteful number, since it uses less digits than its factorization.

98968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 92 counting only the distinct ones).

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

The square root of 98968320 is about 9948.2822637881. The cubic root of 98968320 is about 462.5571509605.

The spelling of 98968320 in words is "ninety-eight million, nine hundred sixty-eight thousand, three hundred twenty".