168066020 has 96 divisors (see below), whose sum is σ = 390700800. Its totient is φ = 60480000.

The previous prime is 168066013. The next prime is 168066023. The reversal of 168066020 is 20660861.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (168066023) 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 31 ways as a sum of consecutive naturals, for example, 1112945 + ... + 1113095.

It is an arithmetic number, because the mean of its divisors is an integer number (4069800).

Almost surely, 2^168066020 is an apocalyptic number.

168066020 is a gapful number since it is divisible by the number (10) 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 168066020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195350400).

168066020 is an abundant number, since it is smaller than the sum of its proper divisors (222634780).

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

168066020 is a wasteful number, since it uses less digits than its factorization.

168066020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 168066020 is about 12964.0279234503. The cubic root of 168066020 is about 551.8571052444.

The spelling of 168066020 in words is "one hundred sixty-eight million, sixty-six thousand, twenty".