968792832 has 144 divisors (see below), whose sum is σ = 3274324480. Its totient is φ = 276784128.

The previous prime is 968792831. The next prime is 968792837. The reversal of 968792832 is 238297869.

It is a happy number.

968792832 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 (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (968792831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38373 + ... + 58395.

Almost surely, 2^968792832 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 968792832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637162240).

968792832 is an abundant number, since it is smaller than the sum of its proper divisors (2305531648).

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

968792832 is a wasteful number, since it uses less digits than its factorization.

968792832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20055 (or 20035 counting only the distinct ones).

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

The square root of 968792832 is about 31125.4370571724. The cubic root of 968792832 is about 989.4874849504.

The spelling of 968792832 in words is "nine hundred sixty-eight million, seven hundred ninety-two thousand, eight hundred thirty-two".