166222368 has 120 divisors (see below), whose sum is σ = 526566348. Its totient is φ = 51134976.

The previous prime is 166222367. The next prime is 166222417. The reversal of 166222368 is 863222661.

166222368 is a `hidden beast` number, since 1 + 6 + 622 + 23 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 152473104 + 13749264 = 12348^2 + 3708^2 .

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 not an unprimeable number, because it can be changed into a prime (166222361) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 31230 + ... + 36162.

Almost surely, 2^166222368 is an apocalyptic number.

166222368 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 166222368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263283174).

166222368 is an abundant number, since it is smaller than the sum of its proper divisors (360343980).

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

166222368 is a wasteful number, since it uses less digits than its factorization.

166222368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4968 (or 4951 counting only the distinct ones).

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

The square root of 166222368 is about 12892.7253907000. The cubic root of 166222368 is about 549.8317590099.

The spelling of 166222368 in words is "one hundred sixty-six million, two hundred twenty-two thousand, three hundred sixty-eight".