811368 has 48 divisors (see below), whose sum is σ = 2246400. Its totient is φ = 264480.

The previous prime is 811351. The next prime is 811379. The reversal of 811368 is 863118.

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

It is an unprimeable number.

811368 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 11 ways as a sum of consecutive naturals, for example, 4153 + ... + 4343.

It is an arithmetic number, because the mean of its divisors is an integer number (46800).

2⁸¹¹³⁶⁸ 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 811368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123200).

811368 is an abundant number, since it is smaller than the sum of its proper divisors (1435032).

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

811368 is a wasteful number, since it uses less digits than its factorization.

811368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 255 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 811368 is about 900.7596793818. The cubic root of 811368 is about 93.2694233678.

The spelling of 811368 in words is "eight hundred eleven thousand, three hundred sixty-eight".