166408128 has 224 divisors, whose sum is σ = 526694400. Its totient is φ = 51397632.

The previous prime is 166408103. The next prime is 166408133. The reversal of 166408128 is 821804661.

166408128 is a `hidden beast` number, since 1 + 6 + 640 + 8 + 1 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 166408092 and 166408101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2106393 + ... + 2106471.

Almost surely, 2^166408128 is an apocalyptic number.

166408128 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 166408128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263347200).

166408128 is an abundant number, since it is smaller than the sum of its proper divisors (360286272).

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

166408128 is a wasteful number, since it uses less digits than its factorization.

166408128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 166408128 is about 12899.9274416564. The cubic root of 166408128 is about 550.0365022606.

The spelling of 166408128 in words is "one hundred sixty-six million, four hundred eight thousand, one hundred twenty-eight".