166867668 has 192 divisors, whose sum is σ = 510935040. Its totient is φ = 46569600.

The previous prime is 166867661. The next prime is 166867697. The reversal of 166867668 is 866768661.

166867668 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166867661) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 846946 + ... + 847142.

It is an arithmetic number, because the mean of its divisors is an integer number (2661120).

Almost surely, 2^166867668 is an apocalyptic number.

166867668 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 166867668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255467520).

166867668 is an abundant number, since it is smaller than the sum of its proper divisors (344067372).

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

166867668 is a wasteful number, since it uses less digits than its factorization.

166867668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 267 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 166867668 is about 12917.7268898208. The cubic root of 166867668 is about 550.5423498666.

The spelling of 166867668 in words is "one hundred sixty-six million, eight hundred sixty-seven thousand, six hundred sixty-eight".