99976320 has 192 divisors, whose sum is σ = 365896440. Its totient is φ = 25067520.

The previous prime is 99976319. The next prime is 99976321. The reversal of 99976320 is 2367999.

99976320 is a `hidden beast` number, since 9 + 9 + 9 + 7 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (99976319) and next prime (99976321).

It can be written as a sum of positive squares in 4 ways, for example, as 92621376 + 7354944 = 9624^2 + 2712^2 .

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

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

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (99976321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97410 + ... + 98430.

Almost surely, 2^99976320 is an apocalyptic number.

99976320 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 99976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182948220).

99976320 is an abundant number, since it is smaller than the sum of its proper divisors (265920120).

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

99976320 is a wasteful number, since it uses less digits than its factorization.

99976320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 99976320 is about 9998.8159298989. The cubic root of 99976320 is about 464.1222428611.

The spelling of 99976320 in words is "ninety-nine million, nine hundred seventy-six thousand, three hundred twenty".