166816 has 24 divisors (see below), whose sum is σ = 354564. Its totient is φ = 76800.

The previous prime is 166807. The next prime is 166823. The reversal of 166816 is 618661.

It can be written as a sum of positive squares in 2 ways, for example, as 163216 + 3600 = 404^2 + 60^2 .

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 216 + ... + 616.

2¹⁶⁶⁸¹⁶ is an apocalyptic number.

166816 is a gapful number since it is divisible by the number (16) 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 166816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177282).

166816 is an abundant number, since it is smaller than the sum of its proper divisors (187748).

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

166816 is a wasteful number, since it uses less digits than its factorization.

166816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 416 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The square root of 166816 is about 408.4311447478. The cubic root of 166816 is about 55.0485521685.

The spelling of 166816 in words is "one hundred sixty-six thousand, eight hundred sixteen".