99882960 has 160 divisors (see below), whose sum is σ = 325693440. Its totient is φ = 25288704.

The previous prime is 99882949. The next prime is 99882967. The reversal of 99882960 is 6928899.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99882967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 786417 + ... + 786543.

It is an arithmetic number, because the mean of its divisors is an integer number (2035584).

Almost surely, 2^99882960 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 99882960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162846720).

99882960 is an abundant number, since it is smaller than the sum of its proper divisors (225810480).

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

99882960 is a wasteful number, since it uses less digits than its factorization.

99882960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The square root of 99882960 is about 9994.1462867020. The cubic root of 99882960 is about 463.9777288161.

The spelling of 99882960 in words is "ninety-nine million, eight hundred eighty-two thousand, nine hundred sixty".