99205920 has 144 divisors (see below), whose sum is σ = 369375552. Its totient is φ = 24046080.

The previous prime is 99205901. The next prime is 99205927. The reversal of 99205920 is 2950299.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99205927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12709 + ... + 18971.

It is an arithmetic number, because the mean of its divisors is an integer number (2565108).

Almost surely, 2^99205920 is an apocalyptic number.

99205920 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 99205920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184687776).

99205920 is an abundant number, since it is smaller than the sum of its proper divisors (270169632).

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

99205920 is a wasteful number, since it uses less digits than its factorization.

99205920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6295 (or 6284 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 99205920 is about 9960.2168651089. The cubic root of 99205920 is about 462.9270193021.

The spelling of 99205920 in words is "ninety-nine million, two hundred five thousand, nine hundred twenty".