166400163 has 40 divisors (see below), whose sum is σ = 256829760. Its totient is φ = 107308800.

The previous prime is 166400159. The next prime is 166400167. The reversal of 166400163 is 361004661.

166400163 is a `hidden beast` number, since 1 + 6 + 640 + 0 + 16 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (166400159) and next prime (166400167).

It is not a de Polignac number, because 166400163 - 2² = 166400159 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (166400167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 414763 + ... + 415163.

It is an arithmetic number, because the mean of its divisors is an integer number (6420744).

Almost surely, 2^166400163 is an apocalyptic number.

166400163 is a deficient number, since it is larger than the sum of its proper divisors (90429597).

166400163 is a wasteful number, since it uses less digits than its factorization.

166400163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 166400163 is about 12899.6187152954. The cubic root of 166400163 is about 550.0277264259.

The spelling of 166400163 in words is "one hundred sixty-six million, four hundred thousand, one hundred sixty-three".