164205160 has 64 divisors (see below), whose sum is σ = 423947520. Its totient is φ = 56071680.

The previous prime is 164205131. The next prime is 164205187. The reversal of 164205160 is 61502461.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77637 + ... + 79723.

It is an arithmetic number, because the mean of its divisors is an integer number (6624180).

Almost surely, 2^164205160 is an apocalyptic number.

164205160 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 164205160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211973760).

164205160 is an abundant number, since it is smaller than the sum of its proper divisors (259742360).

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

164205160 is a wasteful number, since it uses less digits than its factorization.

164205160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 164205160 is about 12814.2561235524. The cubic root of 164205160 is about 547.5985213610.

The spelling of 164205160 in words is "one hundred sixty-four million, two hundred five thousand, one hundred sixty".