864468 has 72 divisors (see below), whose sum is σ = 2489760. Its totient is φ = 250560.

The previous prime is 864449. The next prime is 864491.

864468 is a `hidden beast` number, since 8 + 644 + 6 + 8 = 666.

864468 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

864468 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, 14623 + ... + 14681.

It is an arithmetic number, because the mean of its divisors is an integer number (34580).

2⁸⁶⁴⁴⁶⁸ 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 864468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244880).

864468 is an abundant number, since it is smaller than the sum of its proper divisors (1625292).

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

864468 is a wasteful number, since it uses less digits than its factorization.

864468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 112 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 864468 is about 929.7677129262. The cubic root of 864468 is about 95.2612568588.

It can be divided in two parts, 86 and 4468, that added together give a palindrome (4554).

The spelling of 864468 in words is "eight hundred sixty-four thousand, four hundred sixty-eight".