166408 has 32 divisors (see below), whose sum is σ = 357120. Its totient is φ = 72000.

The previous prime is 166403. The next prime is 166409. The reversal of 166408 is 804661.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (166403) by changing a digit.

166408 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2698 + ... + 2758.

It is an arithmetic number, because the mean of its divisors is an integer number (11160).

2¹⁶⁶⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178560).

166408 is an abundant number, since it is smaller than the sum of its proper divisors (190712).

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

166408 is a wasteful number, since it uses less digits than its factorization.

166408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 166408 is about 407.9313667763. The cubic root of 166408 is about 55.0036361232.

The spelling of 166408 in words is "one hundred sixty-six thousand, four hundred eight".