968413842 has 48 divisors (see below), whose sum is σ = 2309287968. Its totient is φ = 290855040.

The previous prime is 968413841. The next prime is 968413843. The reversal of 968413842 is 248314869.

It is a happy number.

968413842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (968413841) and next prime (968413843).

It is not an unprimeable number, because it can be changed into a prime (968413841) 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, 733 + ... + 44015.

It is an arithmetic number, because the mean of its divisors is an integer number (48110166).

Almost surely, 2^968413842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968413842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154643984).

968413842 is an abundant number, since it is smaller than the sum of its proper divisors (1340874126).

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

968413842 is a wasteful number, since it uses less digits than its factorization.

968413842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43415 (or 43412 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 968413842 is about 31119.3483543599. The cubic root of 968413842 is about 989.3584395513.

The spelling of 968413842 in words is "nine hundred sixty-eight million, four hundred thirteen thousand, eight hundred forty-two".