165387664 has 80 divisors (see below), whose sum is σ = 363976704. Its totient is φ = 72230400.

The previous prime is 165387643. The next prime is 165387671. The reversal of 165387664 is 466783561.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 865809 + ... + 865999.

Almost surely, 2^165387664 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 165387664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181988352).

165387664 is an abundant number, since it is smaller than the sum of its proper divisors (198589040).

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

165387664 is a wasteful number, since it uses less digits than its factorization.

165387664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 410 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The square root of 165387664 is about 12860.3135265047. The cubic root of 165387664 is about 548.9098671655.

The spelling of 165387664 in words is "one hundred sixty-five million, three hundred eighty-seven thousand, six hundred sixty-four".