99512960 has 64 divisors (see below), whose sum is σ = 241893000. Its totient is φ = 39137280.

The previous prime is 99512953. The next prime is 99512969. The reversal of 99512960 is 6921599.

It can be written as a sum of positive squares in 4 ways, for example, as 75620416 + 23892544 = 8696^2 + 4888^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (99512969) 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 7 ways as a sum of consecutive naturals, for example, 37766 + ... + 40314.

Almost surely, 2^99512960 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 99512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120946500).

99512960 is an abundant number, since it is smaller than the sum of its proper divisors (142380040).

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

99512960 is a wasteful number, since it uses less digits than its factorization.

99512960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 41.

The square root of 99512960 is about 9975.6182765781. The cubic root of 99512960 is about 463.4041102076.

The spelling of 99512960 in words is "ninety-nine million, five hundred twelve thousand, nine hundred sixty".