968858616 has 192 divisors, whose sum is σ = 2794659840. Its totient is φ = 279417600.

The previous prime is 968858609. The next prime is 968858633. The reversal of 968858616 is 616858869.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7628745 + ... + 7628871.

It is an arithmetic number, because the mean of its divisors is an integer number (14555520).

Almost surely, 2^968858616 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 968858616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397329920).

968858616 is an abundant number, since it is smaller than the sum of its proper divisors (1825801224).

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

968858616 is a wasteful number, since it uses less digits than its factorization.

968858616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 251 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 57.

The square root of 968858616 is about 31126.4937954791. The cubic root of 968858616 is about 989.5098808536.

It can be divided in two parts, 96885 and 8616, that added together give a palindrome (105501).

The spelling of 968858616 in words is "nine hundred sixty-eight million, eight hundred fifty-eight thousand, six hundred sixteen".