868464 has 60 divisors (see below), whose sum is σ = 2511496. Its totient is φ = 279936.

The previous prime is 868459. The next prime is 868487. The reversal of 868464 is 464868.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 868464.

It is an unprimeable number.

868464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5247 + ... + 5409.

2⁸⁶⁸⁴⁶⁴ 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 868464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255748).

868464 is an abundant number, since it is smaller than the sum of its proper divisors (1643032).

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

868464 is a wasteful number, since it uses less digits than its factorization.

868464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 205 counting only the distinct ones).

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

The square root of 868464 is about 931.9141591370. The cubic root of 868464 is about 95.4078128696.

The spelling of 868464 in words is "eight hundred sixty-eight thousand, four hundred sixty-four".