864936 has 48 divisors (see below), whose sum is σ = 2407860. Its totient is φ = 280320.

The previous prime is 864917. The next prime is 864947. The reversal of 864936 is 639468.

864936 is a `hidden beast` number, since 8 + 649 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 864900 + 36 = 930^2 + 6^2 .

It is a super-2 number, since 2×864936² = 1496228568192, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 864936.

It is an unprimeable number.

864936 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 11 ways as a sum of consecutive naturals, for example, 2806 + ... + 3098.

2⁸⁶⁴⁹³⁶ 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 864936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203930).

864936 is an abundant number, since it is smaller than the sum of its proper divisors (1542924).

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

864936 is a wasteful number, since it uses less digits than its factorization.

864936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 339 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 864936 is about 930.0193546373. The cubic root of 864936 is about 95.2784443951.

Subtracting from 864936 its sum of digits (36), we obtain a square (864900 = 930²).

It can be divided in two parts, 8649 and 36, that multiplied together give a square (311364 = 558²).

The spelling of 864936 in words is "eight hundred sixty-four thousand, nine hundred thirty-six".