864560 has 40 divisors (see below), whose sum is σ = 2048976. Its totient is φ = 339200.

The previous prime is 864551. The next prime is 864581. The reversal of 864560 is 65468.

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 864560.

It is an unprimeable number.

864560 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, 8027 + ... + 8133.

2⁸⁶⁴⁵⁶⁰ is an apocalyptic number.

864560 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 864560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024488).

864560 is an abundant number, since it is smaller than the sum of its proper divisors (1184416).

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

864560 is a wasteful number, since it uses less digits than its factorization.

864560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 864560 is about 929.8171863329. The cubic root of 864560 is about 95.2646360950.

The spelling of 864560 in words is "eight hundred sixty-four thousand, five hundred sixty".