99688320 has 192 divisors, whose sum is σ = 357542640. Its totient is φ = 26542080.

The previous prime is 99688247. The next prime is 99688321. The reversal of 99688320 is 2388699.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×99688320² = 19875522288844800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99688321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155200 + ... + 155840.

Almost surely, 2^99688320 is an apocalyptic number.

99688320 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 99688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178771320).

99688320 is an abundant number, since it is smaller than the sum of its proper divisors (257854320).

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

99688320 is an equidigital number, since it uses as much as digits as its factorization.

99688320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 651 counting only the distinct ones).

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

The square root of 99688320 is about 9984.4038379865. The cubic root of 99688320 is about 463.6761513511.

The spelling of 99688320 in words is "ninety-nine million, six hundred eighty-eight thousand, three hundred twenty".