968315796 has 120 divisors (see below), whose sum is σ = 2960569920. Its totient is φ = 270200448.

The previous prime is 968315759. The next prime is 968315797. The reversal of 968315796 is 697513869.

968315796 is a `hidden beast` number, since 9 + 68 + 3 + 1 + 579 + 6 = 666.

It is a super-2 number, since 2×968315796² = 1875270961566227232, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968315797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92560 + ... + 102488.

It is an arithmetic number, because the mean of its divisors is an integer number (24671416).

Almost surely, 2^968315796 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 968315796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480284960).

968315796 is an abundant number, since it is smaller than the sum of its proper divisors (1992254124).

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

968315796 is a wasteful number, since it uses less digits than its factorization.

968315796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9995 (or 9984 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 968315796 is about 31117.7729922949. The cubic root of 968315796 is about 989.3250495868.

The spelling of 968315796 in words is "nine hundred sixty-eight million, three hundred fifteen thousand, seven hundred ninety-six".