201809664 has 288 divisors, whose sum is σ = 705098240. Its totient is φ = 55738368.

The previous prime is 201809653. The next prime is 201809693. The reversal of 201809664 is 466908102.

201809664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2080464 + ... + 2080560.

Almost surely, 2^201809664 is an apocalyptic number.

201809664 is a gapful number since it is divisible by the number (24) 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 201809664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352549120).

201809664 is an abundant number, since it is smaller than the sum of its proper divisors (503288576).

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

201809664 is an equidigital number, since it uses as much as digits as its factorization.

201809664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 201809664 is about 14205.9728283564. The cubic root of 201809664 is about 586.5620842043.

The spelling of 201809664 in words is "two hundred one million, eight hundred nine thousand, six hundred sixty-four".