968795680 has 48 divisors (see below), whose sum is σ = 2300356800. Its totient is φ = 385558272.

The previous prime is 968795651. The next prime is 968795701. The reversal of 968795680 is 86597869.

968795680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×968795680³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16627 + ... + 47053.

It is an arithmetic number, because the mean of its divisors is an integer number (47924100).

Almost surely, 2^968795680 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 968795680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150178400).

968795680 is an abundant number, since it is smaller than the sum of its proper divisors (1331561120).

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

968795680 is a wasteful number, since it uses less digits than its factorization.

968795680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30641 (or 30633 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 58.

The square root of 968795680 is about 31125.4828075004. The cubic root of 968795680 is about 989.4884545618.

The spelling of 968795680 in words is "nine hundred sixty-eight million, seven hundred ninety-five thousand, six hundred eighty".