968283792 has 120 divisors (see below), whose sum is σ = 3109354560. Its totient is φ = 275546880.

The previous prime is 968283781. The next prime is 968283809. The reversal of 968283792 is 297382869.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

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, 269367 + ... + 272937.

It is an arithmetic number, because the mean of its divisors is an integer number (25911288).

Almost surely, 2^968283792 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 968283792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554677280).

968283792 is an abundant number, since it is smaller than the sum of its proper divisors (2141070768).

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

968283792 is a wasteful number, since it uses less digits than its factorization.

968283792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3861 (or 3852 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 968283792 is about 31117.2587481610. The cubic root of 968283792 is about 989.3141500064.

The spelling of 968283792 in words is "nine hundred sixty-eight million, two hundred eighty-three thousand, seven hundred ninety-two".