165645648 has 300 divisors, whose sum is σ = 595958880. Its totient is φ = 43390080.

The previous prime is 165645611. The next prime is 165645659. The reversal of 165645648 is 846546561.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (691200) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5343393 + ... + 5343423.

Almost surely, 2^165645648 is an apocalyptic number.

165645648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165645648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297979440).

165645648 is an abundant number, since it is smaller than the sum of its proper divisors (430313232).

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

165645648 is a wasteful number, since it uses less digits than its factorization.

165645648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 62 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 165645648 is about 12870.3398556526. The cubic root of 165645648 is about 549.1951290611.

The spelling of 165645648 in words is "one hundred sixty-five million, six hundred forty-five thousand, six hundred forty-eight".