201985600 has 42 divisors (see below), whose sum is σ = 497014754. Its totient is φ = 80793600.

The previous prime is 201985591. The next prime is 201985601. The reversal of 201985600 is 6589102.

It can be written as a sum of positive squares in 3 ways, for example, as 118336 + 201867264 = 344^2 + 14208^2 .

It is not an unprimeable number, because it can be changed into a prime (201985601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61521 + ... + 64720.

Almost surely, 2^201985600 is an apocalyptic number.

201985600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201985600 is an abundant number, since it is smaller than the sum of its proper divisors (295029154).

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

201985600 is a wasteful number, since it uses less digits than its factorization.

201985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126263 (or 126248 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 201985600 is about 14212.1638042910. The cubic root of 201985600 is about 586.7324880235.

The spelling of 201985600 in words is "two hundred one million, nine hundred eighty-five thousand, six hundred".