165925648 has 80 divisors (see below), whose sum is σ = 380261376. Its totient is φ = 68664960.

The previous prime is 165925621. The next prime is 165925663. The reversal of 165925648 is 846529561.

165925648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 165925598 and 165925607.

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, 630765 + ... + 631027.

Almost surely, 2^165925648 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 165925648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190130688).

165925648 is an abundant number, since it is smaller than the sum of its proper divisors (214335728).

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

165925648 is a wasteful number, since it uses less digits than its factorization.

165925648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 446 counting only the distinct ones).

The product of its digits is 518400, while the sum is 46.

The square root of 165925648 is about 12881.2129863612. The cubic root of 165925648 is about 549.5043998342.

The spelling of 165925648 in words is "one hundred sixty-five million, nine hundred twenty-five thousand, six hundred forty-eight".