99922320 has 120 divisors (see below), whose sum is σ = 338355576. Its totient is φ = 26425344.

The previous prime is 99922309. The next prime is 99922321. The reversal of 99922320 is 2322999.

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 99920016 = 48^2 + 9996^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (99922321) 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, 98134 + ... + 99146.

Almost surely, 2^99922320 is an apocalyptic number.

99922320 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 99922320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169177788).

99922320 is an abundant number, since it is smaller than the sum of its proper divisors (238433256).

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

99922320 is a wasteful number, since it uses less digits than its factorization.

99922320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 99922320 is about 9996.1152454341. The cubic root of 99922320 is about 464.0386660208.

The spelling of 99922320 in words is "ninety-nine million, nine hundred twenty-two thousand, three hundred twenty".