166330368 has 144 divisors (see below), whose sum is σ = 503314560. Its totient is φ = 54263808.

The previous prime is 166330361. The next prime is 166330379. The reversal of 166330368 is 863033661.

166330368 is a `hidden beast` number, since 16 + 633 + 0 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (166330361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3538921 + ... + 3538967.

It is an arithmetic number, because the mean of its divisors is an integer number (3495240).

Almost surely, 2^166330368 is an apocalyptic number.

166330368 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 166330368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251657280).

166330368 is an abundant number, since it is smaller than the sum of its proper divisors (336984192).

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

166330368 is an frugal number, since it uses more digits than its factorization.

166330368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 166330368 is about 12896.9131190374. The cubic root of 166330368 is about 549.9508143343.

The spelling of 166330368 in words is "one hundred sixty-six million, three hundred thirty thousand, three hundred sixty-eight".