201664032 has 48 divisors (see below), whose sum is σ = 535338720. Its totient is φ = 66463232.

The previous prime is 201664027. The next prime is 201664039. The reversal of 201664032 is 230466102.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 201663993 and 201664011.

It is not an unprimeable number, because it can be changed into a prime (201664039) 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, 3258 + ... + 20345.

It is an arithmetic number, because the mean of its divisors is an integer number (11152890).

Almost surely, 2^201664032 is an apocalyptic number.

It is an amenable number.

201664032 is an abundant number, since it is smaller than the sum of its proper divisors (333674688).

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

201664032 is a wasteful number, since it uses less digits than its factorization.

201664032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23705 (or 23697 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 201664032 is about 14200.8461719716. The cubic root of 201664032 is about 586.4209565633.

The spelling of 201664032 in words is "two hundred one million, six hundred sixty-four thousand, thirty-two".