864160 has 48 divisors (see below), whose sum is σ = 2231712. Its totient is φ = 313600.

The previous prime is 864151. The next prime is 864167. The reversal of 864160 is 61468.

864160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

864160 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, 1515 + ... + 2005.

It is an arithmetic number, because the mean of its divisors is an integer number (46494).

2⁸⁶⁴¹⁶⁰ is an apocalyptic number.

864160 is a gapful number since it is divisible by the number (80) 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 864160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115856).

864160 is an abundant number, since it is smaller than the sum of its proper divisors (1367552).

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

864160 is a wasteful number, since it uses less digits than its factorization.

864160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 509 counting only the distinct ones).

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

The square root of 864160 is about 929.6020654022. The cubic root of 864160 is about 95.2499420184.

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

The spelling of 864160 in words is "eight hundred sixty-four thousand, one hundred sixty".