166662144 has 208 divisors, whose sum is σ = 542571840. Its totient is φ = 50135040.

The previous prime is 166662143. The next prime is 166662149. The reversal of 166662144 is 441266661.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 166662099 and 166662108.

It is not an unprimeable number, because it can be changed into a prime (166662143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1216444 + ... + 1216580.

Almost surely, 2^166662144 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 166662144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271285920).

166662144 is an abundant number, since it is smaller than the sum of its proper divisors (375909696).

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

166662144 is a wasteful number, since it uses less digits than its factorization.

166662144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 153 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 166662144 is about 12909.7693240429. The cubic root of 166662144 is about 550.3162302653.

The spelling of 166662144 in words is "one hundred sixty-six million, six hundred sixty-two thousand, one hundred forty-four".