165201664 has 72 divisors (see below), whose sum is σ = 342165600. Its totient is φ = 79564800.

The previous prime is 165201649. The next prime is 165201667. The reversal of 165201664 is 466102561.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165201667) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1108662 + ... + 1108810.

It is an arithmetic number, because the mean of its divisors is an integer number (4752300).

Almost surely, 2^165201664 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 165201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171082800).

165201664 is an abundant number, since it is smaller than the sum of its proper divisors (176963936).

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

165201664 is an equidigital number, since it uses as much as digits as its factorization.

165201664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 165201664 is about 12853.0799421773. The cubic root of 165201664 is about 548.7040163972.

The spelling of 165201664 in words is "one hundred sixty-five million, two hundred one thousand, six hundred sixty-four".