864612 has 72 divisors (see below), whose sum is σ = 2585856. Its totient is φ = 238464.

The previous prime is 864587. The next prime is 864613. The reversal of 864612 is 216468.

864612 is a `hidden beast` number, since 8 + 646 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (864613) by changing a digit.

864612 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 23 ways as a sum of consecutive naturals, for example, 11808 + ... + 11880.

2⁸⁶⁴⁶¹² 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 864612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292928).

864612 is an abundant number, since it is smaller than the sum of its proper divisors (1721244).

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

864612 is a wasteful number, since it uses less digits than its factorization.

864612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 132 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 864612 is about 929.8451483984. The cubic root of 864612 is about 95.2665459920.

It can be divided in two parts, 8 and 64612, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 864612 in words is "eight hundred sixty-four thousand, six hundred twelve".