99912960 has 432 divisors, whose sum is σ = 419428800. Its totient is φ = 22450176.

The previous prime is 99912949. The next prime is 99912971. The reversal of 99912960 is 6921999.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (99912949) and next prime (99912971).

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1693411 + ... + 1693469.

It is an arithmetic number, because the mean of its divisors is an integer number (970900).

Almost surely, 2^99912960 is an apocalyptic number.

99912960 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 99912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209714400).

99912960 is an abundant number, since it is smaller than the sum of its proper divisors (319515840).

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

99912960 is a wasteful number, since it uses less digits than its factorization.

99912960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The square root of 99912960 is about 9995.6470525924. The cubic root of 99912960 is about 464.0241763067.

The spelling of 99912960 in words is "ninety-nine million, nine hundred twelve thousand, nine hundred sixty".