968835672 has 96 divisors (see below), whose sum is σ = 3048034080. Its totient is φ = 272263680.

The previous prime is 968835667. The next prime is 968835701. The reversal of 968835672 is 276538869.

It is a happy number.

It is a congruent number.

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, 14988 + ... + 46500.

It is an arithmetic number, because the mean of its divisors is an integer number (31750355).

Almost surely, 2^968835672 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 968835672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524017040).

968835672 is an abundant number, since it is smaller than the sum of its proper divisors (2079198408).

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

968835672 is a wasteful number, since it uses less digits than its factorization.

968835672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31593 (or 31586 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 968835672 is about 31126.1252326723. The cubic root of 968835672 is about 989.5020697745.

The spelling of 968835672 in words is "nine hundred sixty-eight million, eight hundred thirty-five thousand, six hundred seventy-two".