99913968 has 120 divisors (see below), whose sum is σ = 348656256. Its totient is φ = 25948800.

The previous prime is 99913967. The next prime is 99913987. The reversal of 99913968 is 86931999.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99913967) 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, 6583 + ... + 15593.

Almost surely, 2^99913968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99913968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174328128).

99913968 is an abundant number, since it is smaller than the sum of its proper divisors (248742288).

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

99913968 is a wasteful number, since it uses less digits than its factorization.

99913968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9043 (or 9034 counting only the distinct ones).

The product of its digits is 944784, while the sum is 54.

The square root of 99913968 is about 9995.6974744137. The cubic root of 99913968 is about 464.0257367809.

The spelling of 99913968 in words is "ninety-nine million, nine hundred thirteen thousand, nine hundred sixty-eight".