165397648 has 80 divisors (see below), whose sum is σ = 360976896. Its totient is φ = 72898560.

The previous prime is 165397597. The next prime is 165397667. The reversal of 165397648 is 846793561.

165397648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 728511 + ... + 728737.

Almost surely, 2^165397648 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 165397648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180488448).

165397648 is an abundant number, since it is smaller than the sum of its proper divisors (195579248).

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

165397648 is a wasteful number, since it uses less digits than its factorization.

165397648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 386 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 49.

The square root of 165397648 is about 12860.7016915874. The cubic root of 165397648 is about 548.9209123380.

The spelling of 165397648 in words is "one hundred sixty-five million, three hundred ninety-seven thousand, six hundred forty-eight".