165496800 has 144 divisors (see below), whose sum is σ = 615710592. Its totient is φ = 37824000.

The previous prime is 165496789. The next prime is 165496801. The reversal of 165496800 is 8694561.

165496800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165496801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11875 + ... + 21725.

It is an arithmetic number, because the mean of its divisors is an integer number (4275768).

Almost surely, 2^165496800 is an apocalyptic number.

165496800 is a gapful number since it is divisible by the number (10) 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 165496800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307855296).

165496800 is an abundant number, since it is smaller than the sum of its proper divisors (450213792).

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

165496800 is a wasteful number, since it uses less digits than its factorization.

165496800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9881 (or 9868 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 165496800 is about 12864.5559581355. Note that the first 3 decimals coincide. The cubic root of 165496800 is about 549.0305788190.

The spelling of 165496800 in words is "one hundred sixty-five million, four hundred ninety-six thousand, eight hundred".