864216 has 32 divisors (see below), whose sum is σ = 2401200. Its totient is φ = 288000.

The previous prime is 864211. The next prime is 864221. The reversal of 864216 is 612468.

864216 is a `hidden beast` number, since 8 + 642 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (864211) and next prime (864221).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 864216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864211) by changing a digit.

864216 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 7 ways as a sum of consecutive naturals, for example, 1785 + ... + 2216.

2⁸⁶⁴²¹⁶ is an apocalyptic number.

It is an amenable number.

864216 is an abundant number, since it is smaller than the sum of its proper divisors (1536984).

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

864216 is a wasteful number, since it uses less digits than its factorization.

864216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4016 (or 4006 counting only the distinct ones).

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

The square root of 864216 is about 929.6321853292. The cubic root of 864216 is about 95.2519994620.

It can be divided in two parts, 864 and 216, that multiplied together give a square (186624 = 432²).

The spelling of 864216 in words is "eight hundred sixty-four thousand, two hundred sixteen".