829368 has 24 divisors (see below), whose sum is σ = 2246400. Its totient is φ = 276432.

The previous prime is 829349. The next prime is 829399. The reversal of 829368 is 863928.

It is a tau number, because it is divible by the number of its divisors (24).

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

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 829368.

It is an unprimeable number.

829368 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 (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5688 + ... + 5831.

It is an arithmetic number, because the mean of its divisors is an integer number (93600).

2⁸²⁹³⁶⁸ is an apocalyptic number.

It is an amenable number.

829368 is an abundant number, since it is smaller than the sum of its proper divisors (1417032).

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

829368 is a wasteful number, since it uses less digits than its factorization.

829368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11531 (or 11524 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 829368 is about 910.6964367999. The cubic root of 829368 is about 93.9541046513.

It can be divided in two parts, 82936 and 8, that added together give a square (82944 = 288²).

The spelling of 829368 in words is "eight hundred twenty-nine thousand, three hundred sixty-eight".