201980800 has 192 divisors, whose sum is σ = 582819840. Its totient is φ = 67737600.

The previous prime is 201980789. The next prime is 201980803. The reversal of 201980800 is 8089102.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201980803) 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, 1590337 + ... + 1590463.

It is an arithmetic number, because the mean of its divisors is an integer number (3035520).

Almost surely, 2^201980800 is an apocalyptic number.

201980800 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 201980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291409920).

201980800 is an abundant number, since it is smaller than the sum of its proper divisors (380839040).

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

201980800 is a wasteful number, since it uses less digits than its factorization.

201980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 201980800 is about 14211.9949338578. The cubic root of 201980800 is about 586.7278402693.

The spelling of 201980800 in words is "two hundred one million, nine hundred eighty thousand, eight hundred".