164160 has 112 divisors (see below), whose sum is σ = 609600. Its totient is φ = 41472.

The previous prime is 164149. The next prime is 164173. The reversal of 164160 is 61461.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

164160 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, 8631 + ... + 8649.

2¹⁶⁴¹⁶⁰ is an apocalyptic number.

164160 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 164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304800).

164160 is an abundant number, since it is smaller than the sum of its proper divisors (445440).

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

164160 is a wasteful number, since it uses less digits than its factorization.

164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 164160 is about 405.1666323872. The cubic root of 164160 is about 54.7548316246.

It can be divided in two parts, 164 and 160, that added together give a square (324 = 18²).

The spelling of 164160 in words is "one hundred sixty-four thousand, one hundred sixty".