99085920 has 96 divisors (see below), whose sum is σ = 322237440. Its totient is φ = 25566720.

The previous prime is 99085919. The next prime is 99085937. The reversal of 99085920 is 2958099.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11551 + ... + 18209.

It is an arithmetic number, because the mean of its divisors is an integer number (3356640).

Almost surely, 2^99085920 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 99085920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161118720).

99085920 is an abundant number, since it is smaller than the sum of its proper divisors (223151520).

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

99085920 is a wasteful number, since it uses less digits than its factorization.

99085920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6708 (or 6700 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 99085920 is about 9954.1910771293. The cubic root of 99085920 is about 462.7402910110.

The spelling of 99085920 in words is "ninety-nine million, eighty-five thousand, nine hundred twenty".