164080 has 40 divisors (see below), whose sum is σ = 437472. Its totient is φ = 56064.

The previous prime is 164071. The next prime is 164089. The reversal of 164080 is 80461.

It is an interprime number because it is at equal distance from previous prime (164071) and next prime (164089).

It is a tau number, because it is divible by the number of its divisors (40).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164089) by changing a digit.

164080 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 7 ways as a sum of consecutive naturals, for example, 414 + ... + 706.

2¹⁶⁴⁰⁸⁰ is an apocalyptic number.

164080 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 164080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218736).

164080 is an abundant number, since it is smaller than the sum of its proper divisors (273392).

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

164080 is a wasteful number, since it uses less digits than its factorization.

164080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 164080 is about 405.0678955435. The cubic root of 164080 is about 54.7459356323.

It can be divided in two parts, 16 and 4080, that added together give a 12-th power (4096 = 2¹²).

The spelling of 164080 in words is "one hundred sixty-four thousand, eighty".