968138507 has 8 divisors (see below), whose sum is σ = 1132175616. Its totient is φ = 810534312.

The previous prime is 968138449. The next prime is 968138537. The reversal of 968138507 is 705831869.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 968138507 - 2²² = 963944203 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (968138537) 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 7 ways as a sum of consecutive naturals, for example, 1607903 + ... + 1608504.

It is an arithmetic number, because the mean of its divisors is an integer number (141521952).

Almost surely, 2^968138507 is an apocalyptic number.

968138507 is a deficient number, since it is larger than the sum of its proper divisors (164037109).

968138507 is a wasteful number, since it uses less digits than its factorization.

968138507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216457.

The product of its (nonzero) digits is 362880, while the sum is 47.

The square root of 968138507 is about 31114.9241843846. The cubic root of 968138507 is about 989.2646673730.

The spelling of 968138507 in words is "nine hundred sixty-eight million, one hundred thirty-eight thousand, five hundred seven".