968436 has 90 divisors (see below), whose sum is σ = 2993298. Its totient is φ = 272160.

The previous prime is 968431. The next prime is 968437. The reversal of 968436 is 634869.

It can be written as a sum of positive squares in only one way, i.e., 571536 + 396900 = 756^2 + 630^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 968436.

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 968436.

It is not an unprimeable number, because it can be changed into a prime (968431) by changing a digit.

968436 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15846 + ... + 15906.

2⁹⁶⁸⁴³⁶ 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 968436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496649).

968436 is an abundant number, since it is smaller than the sum of its proper divisors (2024862).

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

968436 is a wasteful number, since it uses less digits than its factorization.

968436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 73 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 968436 is about 984.0914591642. The cubic root of 968436 is about 98.9365985236.

The spelling of 968436 in words is "nine hundred sixty-eight thousand, four hundred thirty-six".