968772 has 48 divisors (see below), whose sum is σ = 2723840. Its totient is φ = 261792.

The previous prime is 968761. The next prime is 968801. The reversal of 968772 is 277869.

It is a super-3 number, since 3×968772³ = 2727633332344906944, which contains 333 as substring.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 968772.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 968772.

It is an unprimeable number.

968772 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 15 ways as a sum of consecutive naturals, for example, 1293 + ... + 1899.

2⁹⁶⁸⁷⁷² 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 968772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361920).

968772 is an abundant number, since it is smaller than the sum of its proper divisors (1755068).

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

968772 is a wasteful number, since it uses less digits than its factorization.

968772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 638 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 968772 is about 984.2621601992. The cubic root of 968772 is about 98.9480392567.

The spelling of 968772 in words is "nine hundred sixty-eight thousand, seven hundred seventy-two".