968916840 has 64 divisors (see below), whose sum is σ = 2916034560. Its totient is φ = 257552640.

The previous prime is 968916827. The next prime is 968916841. The reversal of 968916840 is 48619869.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (968916841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25305 + ... + 50775.

It is an arithmetic number, because the mean of its divisors is an integer number (45563040).

Almost surely, 2^968916840 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 968916840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458017280).

968916840 is an abundant number, since it is smaller than the sum of its proper divisors (1947117720).

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

968916840 is a wasteful number, since it uses less digits than its factorization.

968916840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25802 (or 25798 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 968916840 is about 31127.4290618419. The cubic root of 968916840 is about 989.5297021390.

The spelling of 968916840 in words is "nine hundred sixty-eight million, nine hundred sixteen thousand, eight hundred forty".