166241712 has 120 divisors (see below), whose sum is σ = 538100976. Its totient is φ = 43835904.

The previous prime is 166241711. The next prime is 166241737. The reversal of 166241712 is 217142661.

166241712 is nontrivially palindromic in base 9.

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

It is a self number, because there is not a number n which added to its sum of digits gives 166241712.

It is not an unprimeable number, because it can be changed into a prime (166241711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27858 + ... + 33294.

Almost surely, 2^166241712 is an apocalyptic number.

166241712 is a gapful number since it is divisible by the number (12) 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 166241712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269050488).

166241712 is an abundant number, since it is smaller than the sum of its proper divisors (371859264).

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

166241712 is a wasteful number, since it uses less digits than its factorization.

166241712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5475 (or 5462 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 166241712 is about 12893.4755593672. The cubic root of 166241712 is about 549.8530869317.

It can be divided in two parts, 16624 and 1712, that added together give a triangular number (18336 = T₁₉₁).

The spelling of 166241712 in words is "one hundred sixty-six million, two hundred forty-one thousand, seven hundred twelve".