201688900 has 54 divisors (see below), whose sum is σ = 509132778. Its totient is φ = 69148800.

The previous prime is 201688897. The next prime is 201688931. The reversal of 201688900 is 9886102.

It can be written as a sum of positive squares in 3 ways, for example, as 25542916 + 176145984 = 5054^2 + 13272^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15681 + ... + 25480.

Almost surely, 2^201688900 is an apocalyptic number.

201688900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201688900 is an abundant number, since it is smaller than the sum of its proper divisors (307443878).

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

201688900 is a wasteful number, since it uses less digits than its factorization.

201688900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41189 (or 41175 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 201688900 is about 14201.7217266077. The cubic root of 201688900 is about 586.4450602120.

The spelling of 201688900 in words is "two hundred one million, six hundred eighty-eight thousand, nine hundred".