164880 has 60 divisors (see below), whose sum is σ = 556140. Its totient is φ = 43776.

The previous prime is 164839. The next prime is 164881. The reversal of 164880 is 88461.

It can be written as a sum of positive squares in 2 ways, for example, as 112896 + 51984 = 336^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 606 + ... + 834.

It is an arithmetic number, because the mean of its divisors is an integer number (9269).

2¹⁶⁴⁸⁸⁰ is an apocalyptic number.

164880 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 164880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278070).

164880 is an abundant number, since it is smaller than the sum of its proper divisors (391260).

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

164880 is a wasteful number, since it uses less digits than its factorization.

164880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 164880 is about 406.0541835765. The cubic root of 164880 is about 54.8347657989.

It can be divided in two parts, 1648 and 80, that added together give a cube (1728 = 12³).

The spelling of 164880 in words is "one hundred sixty-four thousand, eight hundred eighty".