862368 has 48 divisors (see below), whose sum is σ = 2441376. Its totient is φ = 264960.

The previous prime is 862343. The next prime is 862369. The reversal of 862368 is 863268.

It is a tau number, because it is divible by the number of its divisors (48).

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

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 862368.

It is not an unprimeable number, because it can be changed into a prime (862369) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 903 + ... + 1593.

It is an arithmetic number, because the mean of its divisors is an integer number (50862).

2⁸⁶²³⁶⁸ 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 862368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220688).

862368 is an abundant number, since it is smaller than the sum of its proper divisors (1579008).

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

862368 is a wasteful number, since it uses less digits than its factorization.

862368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 709 counting only the distinct ones).

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

The square root of 862368 is about 928.6377119200. The cubic root of 862368 is about 95.1840568363.

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

The spelling of 862368 in words is "eight hundred sixty-two thousand, three hundred sixty-eight".