668162961 has 24 divisors (see below), whose sum is σ = 988416000. Its totient is φ = 434820672.

The previous prime is 668162953. The next prime is 668162969. The reversal of 668162961 is 169261866.

It is an interprime number because it is at equal distance from previous prime (668162953) and next prime (668162969).

It is not a de Polignac number, because 668162961 - 2³ = 668162953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (668162969) 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 23 ways as a sum of consecutive naturals, for example, 58000 + ... + 68558.

It is an arithmetic number, because the mean of its divisors is an integer number (41184000).

Almost surely, 2^668162961 is an apocalyptic number.

It is an amenable number.

668162961 is a deficient number, since it is larger than the sum of its proper divisors (320253039).

668162961 is a wasteful number, since it uses less digits than its factorization.

668162961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10733 (or 10730 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 668162961 is about 25848.8483495880. The cubic root of 668162961 is about 874.2335431305.

The spelling of 668162961 in words is "six hundred sixty-eight million, one hundred sixty-two thousand, nine hundred sixty-one".