968641280 has 72 divisors (see below), whose sum is σ = 2442375600. Its totient is φ = 367054848.

The previous prime is 968641237. The next prime is 968641301. The reversal of 968641280 is 82146869.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4406 + ... + 44234.

Almost surely, 2^968641280 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 968641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221187800).

968641280 is an abundant number, since it is smaller than the sum of its proper divisors (1473734320).

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

968641280 is a wasteful number, since it uses less digits than its factorization.

968641280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39869 (or 39855 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 968641280 is about 31123.0024258586. The cubic root of 968641280 is about 989.4358858116.

The spelling of 968641280 in words is "nine hundred sixty-eight million, six hundred forty-one thousand, two hundred eighty".