166736 has 20 divisors (see below), whose sum is σ = 342612. Its totient is φ = 78336.

The previous prime is 166723. The next prime is 166739. The reversal of 166736 is 637661.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 48400 + 118336 = 220^2 + 344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 166699 and 166708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166739) 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, 35 + ... + 578.

2¹⁶⁶⁷³⁶ is an apocalyptic number.

166736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

166736 is an abundant number, since it is smaller than the sum of its proper divisors (175876).

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

166736 is a wasteful number, since it uses less digits than its factorization.

166736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 632 counting only the distinct ones).

The product of its digits is 4536, while the sum is 29.

The square root of 166736 is about 408.3331972789. Note that the first 3 decimals coincide. The cubic root of 166736 is about 55.0397508777.

The spelling of 166736 in words is "one hundred sixty-six thousand, seven hundred thirty-six".