868480 has 64 divisors (see below), whose sum is σ = 2203200. Its totient is φ = 326656.

The previous prime is 868459. The next prime is 868487. The reversal of 868480 is 84868.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (868487) by changing a digit.

868480 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14691 + ... + 14749.

It is an arithmetic number, because the mean of its divisors is an integer number (34425).

2⁸⁶⁸⁴⁸⁰ is an apocalyptic number.

868480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101600).

868480 is an abundant number, since it is smaller than the sum of its proper divisors (1334720).

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

868480 is a wasteful number, since it uses less digits than its factorization.

868480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 868480 is about 931.9227435791. The cubic root of 868480 is about 95.4083987759.

The spelling of 868480 in words is "eight hundred sixty-eight thousand, four hundred eighty".