202261320 has 128 divisors (see below), whose sum is σ = 679622400. Its totient is φ = 53503488.

The previous prime is 202261259. The next prime is 202261337. The reversal of 202261320 is 23162202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202261293 and 202261302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147277 + ... + 148643.

It is an arithmetic number, because the mean of its divisors is an integer number (5309550).

Almost surely, 2^202261320 is an apocalyptic number.

202261320 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 202261320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339811200).

202261320 is an abundant number, since it is smaller than the sum of its proper divisors (477361080).

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

202261320 is a wasteful number, since it uses less digits than its factorization.

202261320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 202261320 is about 14221.8606377647. The cubic root of 202261320 is about 586.9993392704. Note that the first 3 decimals are identical.

The spelling of 202261320 in words is "two hundred two million, two hundred sixty-one thousand, three hundred twenty".