99328320 has 336 divisors, whose sum is σ = 421599360. Its totient is φ = 20901888.

The previous prime is 99328319. The next prime is 99328367. The reversal of 99328320 is 2382399.

99328320 is a `hidden beast` number, since 9 + 9 + 328 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×99328320² = 19732230308044800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261891 + ... + 262269.

It is an arithmetic number, because the mean of its divisors is an integer number (1254760).

Almost surely, 2^99328320 is an apocalyptic number.

99328320 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 99328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210799680).

99328320 is an abundant number, since it is smaller than the sum of its proper divisors (322271040).

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

99328320 is a wasteful number, since it uses less digits than its factorization.

99328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 99328320 is about 9966.3594155539. The cubic root of 99328320 is about 463.1173270978.

The spelling of 99328320 in words is "ninety-nine million, three hundred twenty-eight thousand, three hundred twenty".