99960960 has 128 divisors (see below), whose sum is σ = 347664960. Its totient is φ = 24227840.

The previous prime is 99960953. The next prime is 99960997. The reversal of 99960960 is 6906999.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 18754 + ... + 23486.

Almost surely, 2^99960960 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 99960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173832480).

99960960 is an abundant number, since it is smaller than the sum of its proper divisors (247704000).

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

99960960 is a wasteful number, since it uses less digits than its factorization.

99960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4766 (or 4754 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 48.

The square root of 99960960 is about 9998.0478094476. The cubic root of 99960960 is about 464.0984729565.

The spelling of 99960960 in words is "ninety-nine million, nine hundred sixty thousand, nine hundred sixty".