961968006 has 24 divisors (see below), whose sum is σ = 2151499584. Its totient is φ = 310312080.

The previous prime is 961967957. The next prime is 961968013. The reversal of 961968006 is 600869169.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 861421 + ... + 862536.

It is an arithmetic number, because the mean of its divisors is an integer number (89645816).

Almost surely, 2^961968006 is an apocalyptic number.

961968006 is an abundant number, since it is smaller than the sum of its proper divisors (1189531578).

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

961968006 is a wasteful number, since it uses less digits than its factorization.

961968006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723996 (or 1723993 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 961968006 is about 31015.6090702730. The cubic root of 961968006 is about 987.1584696418.

The spelling of 961968006 in words is "nine hundred sixty-one million, nine hundred sixty-eight thousand, six".