166271616 has 320 divisors, whose sum is σ = 592416000. Its totient is φ = 45287424.

The previous prime is 166271597. The next prime is 166271639. The reversal of 166271616 is 616172661.

166271616 is a `hidden beast` number, since 1 + 6 + 627 + 16 + 16 = 666.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2104665 + ... + 2104743.

It is an arithmetic number, because the mean of its divisors is an integer number (1851300).

Almost surely, 2^166271616 is an apocalyptic number.

166271616 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 166271616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296208000).

166271616 is an abundant number, since it is smaller than the sum of its proper divisors (426144384).

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

166271616 is an equidigital number, since it uses as much as digits as its factorization.

166271616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 166271616 is about 12894.6351635089. The cubic root of 166271616 is about 549.8860546321.

The spelling of 166271616 in words is "one hundred sixty-six million, two hundred seventy-one thousand, six hundred sixteen".