864164 has 18 divisors (see below), whose sum is σ = 1759590. Its totient is φ = 370272.

The previous prime is 864151. The next prime is 864167. The reversal of 864164 is 461468.

It can be written as a sum of positive squares in only one way, i.e., 550564 + 313600 = 742^2 + 560^2 .

It is not an unprimeable number, because it can be changed into a prime (864167) by changing a digit.

864164 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2009 + ... + 2400.

It is an arithmetic number, because the mean of its divisors is an integer number (97755).

2⁸⁶⁴¹⁶⁴ is an apocalyptic number.

It is an amenable number.

864164 is an abundant number, since it is smaller than the sum of its proper divisors (895426).

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

864164 is a wasteful number, since it uses less digits than its factorization.

864164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4427 (or 4418 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 864164 is about 929.6042168579. The cubic root of 864164 is about 95.2500889816.

The spelling of 864164 in words is "eight hundred sixty-four thousand, one hundred sixty-four".