202011920 has 120 divisors (see below), whose sum is σ = 529887960. Its totient is φ = 71526400.

The previous prime is 202011917. The next prime is 202011923. The reversal of 202011920 is 29110202.

It is an interprime number because it is at equal distance from previous prime (202011917) and next prime (202011923).

It can be written as a sum of positive squares in 4 ways, for example, as 8690704 + 193321216 = 2948^2 + 13904^2 .

It is not an unprimeable number, because it can be changed into a prime (202011923) 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, 396626 + ... + 397134.

It is an arithmetic number, because the mean of its divisors is an integer number (4415733).

Almost surely, 2^202011920 is an apocalyptic number.

202011920 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 202011920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264943980).

202011920 is an abundant number, since it is smaller than the sum of its proper divisors (327876040).

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

202011920 is a wasteful number, since it uses less digits than its factorization.

202011920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 202011920 is about 14213.0897415024. The cubic root of 202011920 is about 586.7579719002.

The spelling of 202011920 in words is "two hundred two million, eleven thousand, nine hundred twenty".