856368 has 60 divisors (see below), whose sum is σ = 2530840. Its totient is φ = 269568.

The previous prime is 856351. The next prime is 856369. The reversal of 856368 is 863658.

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

It is not an unprimeable number, because it can be changed into a prime (856369) by changing a digit.

856368 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, 2580 + ... + 2892.

2⁸⁵⁶³⁶⁸ 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 856368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265420).

856368 is an abundant number, since it is smaller than the sum of its proper divisors (1674472).

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

856368 is a wasteful number, since it uses less digits than its factorization.

856368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 337 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 856368 is about 925.4015344703. The cubic root of 856368 is about 94.9627924468.

The spelling of 856368 in words is "eight hundred fifty-six thousand, three hundred sixty-eight".