968209088 has 168 divisors, whose sum is σ = 2466356256. Its totient is φ = 369008640.

The previous prime is 968209061. The next prime is 968209097. The reversal of 968209088 is 880902869.

968209088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2872856 + ... + 2873192.

It is an arithmetic number, because the mean of its divisors is an integer number (14680692).

Almost surely, 2^968209088 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 968209088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233178128).

968209088 is an abundant number, since it is smaller than the sum of its proper divisors (1498147168).

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

968209088 is a wasteful number, since it uses less digits than its factorization.

968209088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 50.

The square root of 968209088 is about 31116.0583622026. The cubic root of 968209088 is about 989.2887071814.

The spelling of 968209088 in words is "nine hundred sixty-eight million, two hundred nine thousand, eighty-eight".