202099920 has 160 divisors (see below), whose sum is σ = 702276480. Its totient is φ = 47646720.

The previous prime is 202099907. The next prime is 202099921. The reversal of 202099920 is 29990202.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202099921) 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, 96646 + ... + 98714.

It is an arithmetic number, because the mean of its divisors is an integer number (4389228).

Almost surely, 2^202099920 is an apocalyptic number.

202099920 is a gapful number since it is divisible by the number (20) 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 202099920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351138240).

202099920 is an abundant number, since it is smaller than the sum of its proper divisors (500176560).

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

202099920 is a wasteful number, since it uses less digits than its factorization.

202099920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 202099920 is about 14216.1851422947. The cubic root of 202099920 is about 586.8431602819.

The spelling of 202099920 in words is "two hundred two million, ninety-nine thousand, nine hundred twenty".