167640961 has 16 divisors (see below), whose sum is σ = 185099904. Its totient is φ = 151167744.

The previous prime is 167640959. The next prime is 167640973. The reversal of 167640961 is 169046761.

It is a cyclic number.

It is not a de Polignac number, because 167640961 - 2¹ = 167640959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (167640761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36580 + ... + 40906.

It is an arithmetic number, because the mean of its divisors is an integer number (11568744).

Almost surely, 2^167640961 is an apocalyptic number.

It is an amenable number.

167640961 is a deficient number, since it is larger than the sum of its proper divisors (17458943).

167640961 is a wasteful number, since it uses less digits than its factorization.

167640961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4440.

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 167640961 is about 12947.6237588215. The cubic root of 167640961 is about 551.3914750098.

The spelling of 167640961 in words is "one hundred sixty-seven million, six hundred forty thousand, nine hundred sixty-one".