816368 has 40 divisors (see below), whose sum is σ = 1865952. Its totient is φ = 338688.

The previous prime is 816367. The next prime is 816377. The reversal of 816368 is 863618.

816368 is nontrivially palindromic in base 6.

816368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×816368² = 1332913422848, which contains 22 as substring.

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4046 + ... + 4242.

2⁸¹⁶³⁶⁸ 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 816368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932976).

816368 is an abundant number, since it is smaller than the sum of its proper divisors (1049584).

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

816368 is a wasteful number, since it uses less digits than its factorization.

816368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 243 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 816368 is about 903.5308517145. The cubic root of 816368 is about 93.4606199802.

The spelling of 816368 in words is "eight hundred sixteen thousand, three hundred sixty-eight".