863268 has 48 divisors (see below), whose sum is σ = 2365440. Its totient is φ = 239904.

The previous prime is 863251. The next prime is 863279. The reversal of 863268 is 862368.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3493 + ... + 3731.

It is an arithmetic number, because the mean of its divisors is an integer number (49280).

2⁸⁶³²⁶⁸ 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 863268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182720).

863268 is an abundant number, since it is smaller than the sum of its proper divisors (1502172).

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

863268 is a wasteful number, since it uses less digits than its factorization.

863268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 294 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 863268 is about 929.1221663484. The cubic root of 863268 is about 95.2171578895.

Subtracting from 863268 its reverse (862368), we obtain a square (900 = 30²).

The spelling of 863268 in words is "eight hundred sixty-three thousand, two hundred sixty-eight".