168005961 has 64 divisors (see below), whose sum is σ = 283392000. Its totient is φ = 97796160.

The previous prime is 168005941. The next prime is 168005963. The reversal of 168005961 is 169500861.

168005961 is a `hidden beast` number, since 1 + 68 + 0 + 0 + 596 + 1 = 666.

It is not a de Polignac number, because 168005961 - 2⁹ = 168005449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (168005963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 341926 + ... + 342416.

It is an arithmetic number, because the mean of its divisors is an integer number (4428000).

Almost surely, 2^168005961 is an apocalyptic number.

It is an amenable number.

168005961 is a deficient number, since it is larger than the sum of its proper divisors (115386039).

168005961 is a wasteful number, since it uses less digits than its factorization.

168005961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 168005961 is about 12961.7113453433. The cubic root of 168005961 is about 551.7913613685.

The spelling of 168005961 in words is "one hundred sixty-eight million, five thousand, nine hundred sixty-one".