165860900 has 36 divisors (see below), whose sum is σ = 363435072. Its totient is φ = 65696160.

The previous prime is 165860869. The next prime is 165860909. The reversal of 165860900 is 9068561.

165860900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (165860909) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2249 + ... + 18351.

Almost surely, 2^165860900 is an apocalyptic number.

165860900 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 165860900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181717536).

165860900 is an abundant number, since it is smaller than the sum of its proper divisors (197574172).

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

165860900 is a wasteful number, since it uses less digits than its factorization.

165860900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16220 (or 16213 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 165860900 is about 12878.6994685022. The cubic root of 165860900 is about 549.4329141210.

The spelling of 165860900 in words is "one hundred sixty-five million, eight hundred sixty thousand, nine hundred".