99958320 has 320 divisors, whose sum is σ = 429972480. Its totient is φ = 20736000.

The previous prime is 99958277. The next prime is 99958337. The reversal of 99958320 is 2385999.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166020 + ... + 166620.

It is an arithmetic number, because the mean of its divisors is an integer number (1343664).

Almost surely, 2^99958320 is an apocalyptic number.

99958320 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 99958320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214986240).

99958320 is an abundant number, since it is smaller than the sum of its proper divisors (330014160).

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

99958320 is a wasteful number, since it uses less digits than its factorization.

99958320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 99958320 is about 9997.9157828019. The cubic root of 99958320 is about 464.0943872589.

It can be divided in two parts, 999 and 58320, that added together give a cube (59319 = 39³).

The spelling of 99958320 in words is "ninety-nine million, nine hundred fifty-eight thousand, three hundred twenty".