864756 has 60 divisors (see below), whose sum is σ = 2408868. Its totient is φ = 269568.

The previous prime is 864737. The next prime is 864757. The reversal of 864756 is 657468.

It is a happy number.

864756 is a `hidden beast` number, since 8 + 647 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 467856 + 396900 = 684^2 + 630^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 864756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864757) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 5430 + ... + 5586.

2⁸⁶⁴⁷⁵⁶ 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 864756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204434).

864756 is an abundant number, since it is smaller than the sum of its proper divisors (1544112).

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

864756 is a wasteful number, since it uses less digits than its factorization.

864756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 179 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 864756 is about 929.9225774224. The cubic root of 864756 is about 95.2718345381.

The spelling of 864756 in words is "eight hundred sixty-four thousand, seven hundred fifty-six".