201981664 has 48 divisors (see below), whose sum is σ = 409313520. Its totient is φ = 98058240.

The previous prime is 201981629. The next prime is 201981667. The reversal of 201981664 is 466189102.

It is a happy number.

201981664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201981667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 314784 + ... + 315424.

It is an arithmetic number, because the mean of its divisors is an integer number (8527365).

Almost surely, 2^201981664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201981664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204656760).

201981664 is an abundant number, since it is smaller than the sum of its proper divisors (207331856).

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

201981664 is a wasteful number, since it uses less digits than its factorization.

201981664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 201981664 is about 14212.0253306839. The cubic root of 201981664 is about 586.7286768705.

The spelling of 201981664 in words is "two hundred one million, nine hundred eighty-one thousand, six hundred sixty-four".