983268 has 72 divisors (see below), whose sum is σ = 2935296. Its totient is φ = 273600.

The previous prime is 983267. The next prime is 983299. The reversal of 983268 is 862389.

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

It is a plaindrome in base 7.

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 983268.

It is not an unprimeable number, because it can be changed into a prime (983261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5053 + ... + 5243.

It is an arithmetic number, because the mean of its divisors is an integer number (40768).

2⁹⁸³²⁶⁸ 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 983268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467648).

983268 is an abundant number, since it is smaller than the sum of its proper divisors (1952028).

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

983268 is a wasteful number, since it uses less digits than its factorization.

983268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 220 counting only the distinct ones).

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

The square root of 983268 is about 991.5987091561. The cubic root of 983268 is about 99.4391267600.

Adding to 983268 its product of digits (20736), we get a square (1004004 = 1002²).

The spelling of 983268 in words is "nine hundred eighty-three thousand, two hundred sixty-eight".