166964 has 24 divisors (see below), whose sum is σ = 342720. Its totient is φ = 69696.

The previous prime is 166949. The next prime is 166967. The reversal of 166964 is 469661.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 166964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166967) by changing a digit.

166964 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 1832 + ... + 1920.

It is an arithmetic number, because the mean of its divisors is an integer number (14280).

2¹⁶⁶⁹⁶⁴ is an apocalyptic number.

166964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

166964 is an abundant number, since it is smaller than the sum of its proper divisors (175756).

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

166964 is a wasteful number, since it uses less digits than its factorization.

166964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 165 counting only the distinct ones).

The product of its digits is 7776, while the sum is 32.

The square root of 166964 is about 408.6122856694. The cubic root of 166964 is about 55.0648271411.

The spelling of 166964 in words is "one hundred sixty-six thousand, nine hundred sixty-four".