160864 has 24 divisors (see below), whose sum is σ = 346248. Its totient is φ = 72960.

The previous prime is 160861. The next prime is 160877. The reversal of 160864 is 468061.

160864 is a modest number, since divided by 864 gives 160 as remainder.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 124 + ... + 580.

It is an arithmetic number, because the mean of its divisors is an integer number (14427).

2¹⁶⁰⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 160864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173124).

160864 is an abundant number, since it is smaller than the sum of its proper divisors (185384).

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

160864 is a wasteful number, since it uses less digits than its factorization.

160864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 160864 is about 401.0785459234. The cubic root of 160864 is about 54.3858959976.

It can be divided in two parts, 160 and 864, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 160864 in words is "one hundred sixty thousand, eight hundred sixty-four".