201329664 has 44 divisors (see below), whose sum is σ = 536625144. Its totient is φ = 67108864.

The previous prime is 201329651. The next prime is 201329729. The reversal of 201329664 is 466923102.

It is a zygodrome in base 2.

It is an unprimeable number.

In principle, a polygon with 201329664 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29697 + ... + 35840.

It is an arithmetic number, because the mean of its divisors is an integer number (12196026).

Almost surely, 2^201329664 is an apocalyptic number.

201329664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201329664 is an abundant number, since it is smaller than the sum of its proper divisors (335295480).

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

201329664 is an equidigital number, since it uses as much as digits as its factorization.

201329664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65560 (or 65542 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 201329664 is about 14189.0684683668. The cubic root of 201329664 is about 586.0966731988.

The spelling of 201329664 in words is "two hundred one million, three hundred twenty-nine thousand, six hundred sixty-four".