860064 has 72 divisors (see below), whose sum is σ = 2475648. Its totient is φ = 261120.

The previous prime is 860063. The next prime is 860071. The reversal of 860064 is 460068.

860064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (860063) 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, 27729 + ... + 27759.

It is an arithmetic number, because the mean of its divisors is an integer number (34384).

2⁸⁶⁰⁰⁶⁴ 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 860064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237824).

860064 is an abundant number, since it is smaller than the sum of its proper divisors (1615584).

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

860064 is a wasteful number, since it uses less digits than its factorization.

860064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 860064 is about 927.3963553950. The cubic root of 860064 is about 95.0992130638.

The spelling of 860064 in words is "eight hundred sixty thousand, sixty-four".