165960810 has 48 divisors (see below), whose sum is σ = 435711744. Its totient is φ = 43824096.

The previous prime is 165960797. The next prime is 165960811. The reversal of 165960810 is 18069561.

165960810 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×165960810² = 55085980911712200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (165960811) 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, 319 + ... + 18221.

It is an arithmetic number, because the mean of its divisors is an integer number (9077328).

Almost surely, 2^165960810 is an apocalyptic number.

165960810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 165960810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217855872).

165960810 is an abundant number, since it is smaller than the sum of its proper divisors (269750934).

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

165960810 is a wasteful number, since it uses less digits than its factorization.

165960810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18019 (or 18016 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 165960810 is about 12882.5777699962. The cubic root of 165960810 is about 549.5432130200.

The spelling of 165960810 in words is "one hundred sixty-five million, nine hundred sixty thousand, eight hundred ten".