99879520 has 96 divisors (see below), whose sum is σ = 262483200. Its totient is φ = 35665920.

The previous prime is 99879517. The next prime is 99879529. The reversal of 99879520 is 2597899.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99879529) by changing a digit.

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, 63706 + ... + 65254.

It is an arithmetic number, because the mean of its divisors is an integer number (2734200).

Almost surely, 2^99879520 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 99879520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131241600).

99879520 is an abundant number, since it is smaller than the sum of its proper divisors (162603680).

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

99879520 is a wasteful number, since it uses less digits than its factorization.

99879520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 49.

The square root of 99879520 is about 9993.9741844774. The cubic root of 99879520 is about 463.9724022428.

The spelling of 99879520 in words is "ninety-nine million, eight hundred seventy-nine thousand, five hundred twenty".