202130880 has 168 divisors, whose sum is σ = 746717328. Its totient is φ = 46190592.

The previous prime is 202130869. The next prime is 202130909. The reversal of 202130880 is 88031202.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 202130880.

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, 44892 + ... + 49188.

It is an arithmetic number, because the mean of its divisors is an integer number (4444746).

Almost surely, 2^202130880 is an apocalyptic number.

202130880 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 202130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373358664).

202130880 is an abundant number, since it is smaller than the sum of its proper divisors (544586448).

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

202130880 is a wasteful number, since it uses less digits than its factorization.

202130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4331 (or 4314 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 202130880 is about 14217.2740003138. The cubic root of 202130880 is about 586.8731252230.

The spelling of 202130880 in words is "two hundred two million, one hundred thirty thousand, eight hundred eighty".