968309376 has 64 divisors (see below), whose sum is σ = 2607381120. Its totient is φ = 318339072.

The previous prime is 968309323. The next prime is 968309411. The reversal of 968309376 is 673903869.

It is a happy number.

968309376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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, 10761 + ... + 45303.

It is an arithmetic number, because the mean of its divisors is an integer number (40740330).

Almost surely, 2^968309376 is an apocalyptic number.

968309376 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968309376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303690560).

968309376 is an abundant number, since it is smaller than the sum of its proper divisors (1639071744).

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

968309376 is a wasteful number, since it uses less digits than its factorization.

968309376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34633 (or 34621 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The square root of 968309376 is about 31117.6698356416. The cubic root of 968309376 is about 989.3228631510.

The spelling of 968309376 in words is "nine hundred sixty-eight million, three hundred nine thousand, three hundred seventy-six".