99313920 has 216 divisors, whose sum is σ = 354417336. Its totient is φ = 25657344.

The previous prime is 99313919. The next prime is 99313927. The reversal of 99313920 is 2931399.

It can be written as a sum of positive squares in 4 ways, for example, as 14379264 + 84934656 = 3792^2 + 9216^2 .

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 (99313927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426124 + ... + 426356.

It is an arithmetic number, because the mean of its divisors is an integer number (1640821).

Almost surely, 2^99313920 is an apocalyptic number.

99313920 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 99313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177208668).

99313920 is an abundant number, since it is smaller than the sum of its proper divisors (255103416).

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

99313920 is a wasteful number, since it uses less digits than its factorization.

99313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 99313920 is about 9965.6369590709. The cubic root of 99313920 is about 463.0949460629.

The spelling of 99313920 in words is "ninety-nine million, three hundred thirteen thousand, nine hundred twenty".