190164 has 48 divisors (see below), whose sum is σ = 508032. Its totient is φ = 54912.

The previous prime is 190159. The next prime is 190181. The reversal of 190164 is 461091.

190164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 190164.

It is a congruent number.

It is an unprimeable number.

190164 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3562 + ... + 3614.

It is an arithmetic number, because the mean of its divisors is an integer number (10584).

2¹⁹⁰¹⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254016).

190164 is an abundant number, since it is smaller than the sum of its proper divisors (317868).

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

190164 is a wasteful number, since it uses less digits than its factorization.

190164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 190164 is about 436.0779746788. The cubic root of 190164 is about 57.5055067190.

The spelling of 190164 in words is "one hundred ninety thousand, one hundred sixty-four".