968587290 has 96 divisors (see below), whose sum is σ = 2754648000. Its totient is φ = 234178560.

The previous prime is 968587289. The next prime is 968587303. The reversal of 968587290 is 92785869.

It is a happy number.

It is a super-2 number, since 2×968587290² = 1876322676699088200, which contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 443421 + ... + 445599.

It is an arithmetic number, because the mean of its divisors is an integer number (28694250).

Almost surely, 2^968587290 is an apocalyptic number.

968587290 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 968587290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377324000).

968587290 is an abundant number, since it is smaller than the sum of its proper divisors (1786060710).

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

968587290 is a wasteful number, since it uses less digits than its factorization.

968587290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 968587290 is about 31122.1350488684. The cubic root of 968587290 is about 989.4175024544.

The spelling of 968587290 in words is "nine hundred sixty-eight million, five hundred eighty-seven thousand, two hundred ninety".