201944664 has 112 divisors (see below), whose sum is σ = 586547520. Its totient is φ = 65085120.

The previous prime is 201944663. The next prime is 201944671. The reversal of 201944664 is 466449102.

201944664 is a `hidden beast` number, since 2 + 0 + 194 + 466 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201944663) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 180234 + ... + 181350.

Almost surely, 2^201944664 is an apocalyptic number.

201944664 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 201944664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293273760).

201944664 is an abundant number, since it is smaller than the sum of its proper divisors (384602856).

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

201944664 is a wasteful number, since it uses less digits than its factorization.

201944664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 201944664 is about 14210.7235565259. The cubic root of 201944664 is about 586.6928480625.

The spelling of 201944664 in words is "two hundred one million, nine hundred forty-four thousand, six hundred sixty-four".