864360036 has 72 divisors (see below), whose sum is σ = 2320567704. Its totient is φ = 270336000.

The previous prime is 864360031. The next prime is 864360041. The reversal of 864360036 is 630063468.

864360036 is a `hidden beast` number, since 8 + 6 + 43 + 600 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (864360031) and next prime (864360041).

It can be written as a sum of positive squares in 4 ways, for example, as 34574400 + 829785636 = 5880^2 + 28806^2 .

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

It is not an unprimeable number, because it can be changed into a prime (864360031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214036 + ... + 218036.

It is an arithmetic number, because the mean of its divisors is an integer number (32230107).

Almost surely, 2^864360036 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 864360036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160283852).

864360036 is an abundant number, since it is smaller than the sum of its proper divisors (1456207668).

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

864360036 is a wasteful number, since it uses less digits than its factorization.

864360036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4381 (or 4376 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 864360036 is about 29400.0006122449. Note that the first 3 decimals coincide. The cubic root of 864360036 is about 952.5729094581.

Subtracting from 864360036 its sum of digits (36), we obtain a square (864360000 = 29400²).

It can be divided in two parts, 8643600 and 36, that multiplied together give a square (311169600 = 17640²).

The spelling of 864360036 in words is "eight hundred sixty-four million, three hundred sixty thousand, thirty-six".