166368 has 24 divisors (see below), whose sum is σ = 436968. Its totient is φ = 55424.

The previous prime is 166363. The next prime is 166393. The reversal of 166368 is 863661.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×166368² = 55356622848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 166368.

It is not an unprimeable number, because it can be changed into a prime (166363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 771 + ... + 962.

It is an arithmetic number, because the mean of its divisors is an integer number (18207).

2¹⁶⁶³⁶⁸ is an apocalyptic number.

It is an amenable number.

166368 is an abundant number, since it is smaller than the sum of its proper divisors (270600).

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

166368 is a wasteful number, since it uses less digits than its factorization.

166368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1738 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 166368 is about 407.8823359745. The cubic root of 166368 is about 54.9992286393. Note that the first 3 decimals are identical.

The spelling of 166368 in words is "one hundred sixty-six thousand, three hundred sixty-eight".