165467664 has 80 divisors (see below), whose sum is σ = 502914240. Its totient is φ = 51909120.

The previous prime is 165467639. The next prime is 165467671. The reversal of 165467664 is 466764561.

165467664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×165467664³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3922 + ... + 18609.

It is an arithmetic number, because the mean of its divisors is an integer number (6286428).

Almost surely, 2^165467664 is an apocalyptic number.

It is an amenable number.

165467664 is an abundant number, since it is smaller than the sum of its proper divisors (337446576).

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

165467664 is a wasteful number, since it uses less digits than its factorization.

165467664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22565 (or 22553 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 165467664 is about 12863.4234945445. The cubic root of 165467664 is about 548.9983576648.

The spelling of 165467664 in words is "one hundred sixty-five million, four hundred sixty-seven thousand, six hundred sixty-four".