864007236 has 135 divisors (see below), whose sum is σ = 2394883183. Its totient is φ = 271600560.

The previous prime is 864007229. The next prime is 864007241. The reversal of 864007236 is 632700468.

The square root of 864007236 is 29394.

It is a perfect power (a square), and thus also a powerful number.

864007236 is a `hidden beast` number, since 8 + 640 + 0 + 7 + 2 + 3 + 6 = 666.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 864007236.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12169081 + ... + 12169151.

Almost surely, 2^864007236 is an apocalyptic number.

864007236 is the 29394-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864007236

864007236 is an abundant number, since it is smaller than the sum of its proper divisors (1530875947).

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

864007236 is a wasteful number, since it uses less digits than its factorization.

864007236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The cubic root of 864007236 is about 952.4432900703.

Multiplying 864007236 by its sum of digits (36), we get a square (31104260496 = 176364²).

864007236 divided by its sum of digits (36) gives a square (24000201 = 4899²).

It can be divided in two parts, 86400 and 7236, that added together give a square (93636 = 306²).

The spelling of 864007236 in words is "eight hundred sixty-four million, seven thousand, two hundred thirty-six".