99511920 has 120 divisors (see below), whose sum is σ = 342446832. Its totient is φ = 25881600.

The previous prime is 99511913. The next prime is 99511943. The reversal of 99511920 is 2911599.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27835 + ... + 31205.

Almost surely, 2^99511920 is an apocalyptic number.

99511920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99511920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171223416).

99511920 is an abundant number, since it is smaller than the sum of its proper divisors (242934912).

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

99511920 is a wasteful number, since it uses less digits than its factorization.

99511920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3431 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The square root of 99511920 is about 9975.5661493471. The cubic root of 99511920 is about 463.4024958720.

The spelling of 99511920 in words is "ninety-nine million, five hundred eleven thousand, nine hundred twenty".