968036742 has 48 divisors (see below), whose sum is σ = 2194339680. Its totient is φ = 307840896.

The previous prime is 968036717. The next prime is 968036749. The reversal of 968036742 is 247630869.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968036749) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166468 + ... + 172184.

It is an arithmetic number, because the mean of its divisors is an integer number (45715410).

Almost surely, 2^968036742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968036742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097169840).

968036742 is an abundant number, since it is smaller than the sum of its proper divisors (1226302938).

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

968036742 is a wasteful number, since it uses less digits than its factorization.

968036742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6157 (or 6154 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 968036742 is about 31113.2888329087. The cubic root of 968036742 is about 989.2300042727.

The spelling of 968036742 in words is "nine hundred sixty-eight million, thirty-six thousand, seven hundred forty-two".