99564960 has 192 divisors, whose sum is σ = 347276160. Its totient is φ = 23777280.

The previous prime is 99564947. The next prime is 99564973. The reversal of 99564960 is 6946599.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (99564947) and next prime (99564973).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 575434 + ... + 575606.

It is an arithmetic number, because the mean of its divisors is an integer number (1808730).

Almost surely, 2^99564960 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 99564960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173638080).

99564960 is an abundant number, since it is smaller than the sum of its proper divisors (247711200).

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

99564960 is a wasteful number, since it uses less digits than its factorization.

99564960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The square root of 99564960 is about 9978.2242909247. The cubic root of 99564960 is about 463.4848126531.

The spelling of 99564960 in words is "ninety-nine million, five hundred sixty-four thousand, nine hundred sixty".