166788 has 36 divisors (see below), whose sum is σ = 435708. Its totient is φ = 53760.

The previous prime is 166783. The next prime is 166799. The reversal of 166788 is 887661.

166788 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 5184 + 161604 = 72^2 + 402^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an Ulam number.

It is a plaindrome in base 10 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166781) by changing a digit.

166788 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 11 ways as a sum of consecutive naturals, for example, 1420 + ... + 1532.

It is an arithmetic number, because the mean of its divisors is an integer number (12103).

2¹⁶⁶⁷⁸⁸ is an apocalyptic number.

166788 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217854).

166788 is an abundant number, since it is smaller than the sum of its proper divisors (268920).

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

166788 is a wasteful number, since it uses less digits than its factorization.

166788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 159 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 166788 is about 408.3968658058. The cubic root of 166788 is about 55.0454720369.

The spelling of 166788 in words is "one hundred sixty-six thousand, seven hundred eighty-eight".