166968 has 32 divisors (see below), whose sum is σ = 464400. Its totient is φ = 55584.

The previous prime is 166967. The next prime is 166973. The reversal of 166968 is 869661.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166967) 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 7 ways as a sum of consecutive naturals, for example, 171 + ... + 602.

2¹⁶⁶⁹⁶⁸ is an apocalyptic number.

166968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

166968 is an abundant number, since it is smaller than the sum of its proper divisors (297432).

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

166968 is a wasteful number, since it uses less digits than its factorization.

166968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 778 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 166968 is about 408.6171802556. The cubic root of 166968 is about 55.0652668717.

The spelling of 166968 in words is "one hundred sixty-six thousand, nine hundred sixty-eight".