99517320 has 384 divisors, whose sum is σ = 412439040. Its totient is φ = 20275200.

The previous prime is 99517289. The next prime is 99517321. The reversal of 99517320 is 2371599.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99517321) 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 95 ways as a sum of consecutive naturals, for example, 985270 + ... + 985370.

It is an arithmetic number, because the mean of its divisors is an integer number (1074060).

Almost surely, 2^99517320 is an apocalyptic number.

99517320 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 99517320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206219520).

99517320 is an abundant number, since it is smaller than the sum of its proper divisors (312921720).

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

99517320 is a wasteful number, since it uses less digits than its factorization.

99517320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 99517320 is about 9975.8368070052. The cubic root of 99517320 is about 463.4108778769.

It can be divided in two parts, 9951 and 7320, that added together give a palindrome (17271).

The spelling of 99517320 in words is "ninety-nine million, five hundred seventeen thousand, three hundred twenty".