165368000 has 112 divisors (see below), whose sum is σ = 468197184. Its totient is φ = 56678400.

The previous prime is 165367957. The next prime is 165368009. The reversal of 165368000 is 863561.

165368000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (165368009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54524 + ... + 57476.

It is an arithmetic number, because the mean of its divisors is an integer number (4180332).

Almost surely, 2^165368000 is an apocalyptic number.

165368000 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 165368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234098592).

165368000 is an abundant number, since it is smaller than the sum of its proper divisors (302829184).

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

165368000 is an equidigital number, since it uses as much as digits as its factorization.

165368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2987 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 165368000 is about 12859.5489812046. The cubic root of 165368000 is about 548.8881118318. Note that the first 3 decimals are identical.

The spelling of 165368000 in words is "one hundred sixty-five million, three hundred sixty-eight thousand".