166067712 has 160 divisors (see below), whose sum is σ = 505280160. Its totient is φ = 53821440.

The previous prime is 166067711. The next prime is 166067723. The reversal of 166067712 is 217760661.

166067712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166067711) 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, 566638 + ... + 566930.

It is an arithmetic number, because the mean of its divisors is an integer number (3158001).

Almost surely, 2^166067712 is an apocalyptic number.

166067712 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 166067712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252640080).

166067712 is an abundant number, since it is smaller than the sum of its proper divisors (339212448).

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

166067712 is an equidigital number, since it uses as much as digits as its factorization.

166067712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 166067712 is about 12886.7261940339. The cubic root of 166067712 is about 549.6611819534.

The spelling of 166067712 in words is "one hundred sixty-six million, sixty-seven thousand, seven hundred twelve".