968795280 has 60 divisors (see below), whose sum is σ = 3253539900. Its totient is φ = 258345216.

The previous prime is 968795279. The next prime is 968795327. The reversal of 968795280 is 82597869.

It is a happy number.

968795280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 371872656 + 596922624 = 19284^2 + 24432^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 672055 + ... + 673494.

It is an arithmetic number, because the mean of its divisors is an integer number (54225665).

Almost surely, 2^968795280 is an apocalyptic number.

968795280 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

968795280 is an abundant number, since it is smaller than the sum of its proper divisors (2284744620).

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

968795280 is a wasteful number, since it uses less digits than its factorization.

968795280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345568 (or 1345559 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 968795280 is about 31125.4763818966. The cubic root of 968795280 is about 989.4883183805.

The spelling of 968795280 in words is "nine hundred sixty-eight million, seven hundred ninety-five thousand, two hundred eighty".