968736 has 24 divisors (see below), whose sum is σ = 2543184. Its totient is φ = 322880.

The previous prime is 968731. The next prime is 968761. The reversal of 968736 is 637869.

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 968694 and 968703.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 968736.

It is not an unprimeable number, because it can be changed into a prime (968731) by changing a digit.

968736 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 3 ways as a sum of consecutive naturals, for example, 4950 + ... + 5141.

It is an arithmetic number, because the mean of its divisors is an integer number (105966).

2⁹⁶⁸⁷³⁶ is an apocalyptic number.

968736 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

968736 is an abundant number, since it is smaller than the sum of its proper divisors (1574448).

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

968736 is a wasteful number, since it uses less digits than its factorization.

968736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10104 (or 10096 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 968736 is about 984.2438722187. The cubic root of 968736 is about 98.9468135904.

The spelling of 968736 in words is "nine hundred sixty-eight thousand, seven hundred thirty-six".