64180 has 12 divisors (see below), whose sum is σ = 134820. Its totient is φ = 25664.

The previous prime is 64171. The next prime is 64187. The reversal of 64180 is 8146.

It can be written as a sum of positive squares in 2 ways, for example, as 29584 + 34596 = 172^2 + 186^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64187) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1585 + ... + 1624.

It is an arithmetic number, because the mean of its divisors is an integer number (11235).

2⁶⁴¹⁸⁰ is an apocalyptic number.

It is an amenable number.

64180 is an abundant number, since it is smaller than the sum of its proper divisors (70640).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67410).

64180 is a wasteful number, since it uses less digits than its factorization.

64180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3218 (or 3216 counting only the distinct ones).

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

The square root of 64180 is about 253.3377192603. The cubic root of 64180 is about 40.0374648986.

It can be divided in two parts, 6 and 4180, that added together give a triangular number (4186 = T₉₁).

The spelling of 64180 in words is "sixty-four thousand, one hundred eighty".