164190 has 32 divisors (see below), whose sum is σ = 425376. Its totient is φ = 40320.

The previous prime is 164183. The next prime is 164191. The reversal of 164190 is 91461.

It is a super-2 number, since 2×164190² = 53916712200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 164190.

It is not an unprimeable number, because it can be changed into a prime (164191) by changing a digit.

164190 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, 180 + ... + 600.

It is an arithmetic number, because the mean of its divisors is an integer number (13293).

2¹⁶⁴¹⁹⁰ is an apocalyptic number.

164190 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 164190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212688).

164190 is an abundant number, since it is smaller than the sum of its proper divisors (261186).

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

164190 is a wasteful number, since it uses less digits than its factorization.

164190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444.

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

The square root of 164190 is about 405.2036525008. The cubic root of 164190 is about 54.7581668766.

The spelling of 164190 in words is "one hundred sixty-four thousand, one hundred ninety".