968814 has 64 divisors (see below), whose sum is σ = 2695680. Its totient is φ = 250560.

The previous prime is 968809. The next prime is 968819. The reversal of 968814 is 418869.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (968809) and next prime (968819).

It is an Ulam number.

Its product of digits (13824) is a multiple of the sum of its prime divisors (256).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968819) by changing a digit.

968814 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 31 ways as a sum of consecutive naturals, for example, 4042 + ... + 4274.

It is an arithmetic number, because the mean of its divisors is an integer number (42120).

2⁹⁶⁸⁸¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347840).

968814 is an abundant number, since it is smaller than the sum of its proper divisors (1726866).

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

968814 is a wasteful number, since it uses less digits than its factorization.

968814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 256 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 968814 is about 984.2834957470. The cubic root of 968814 is about 98.9494691623.

Subtracting from 968814 its reverse (418869), we obtain a palindrome (549945).

The spelling of 968814 in words is "nine hundred sixty-eight thousand, eight hundred fourteen".