166621968 has 80 divisors (see below), whose sum is σ = 482191360. Its totient is φ = 55085184.

The previous prime is 166621951. The next prime is 166621969. The reversal of 166621968 is 869126661.

166621968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (166621969) 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, 53346 + ... + 56382.

It is an arithmetic number, because the mean of its divisors is an integer number (6027392).

Almost surely, 2^166621968 is an apocalyptic number.

166621968 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 166621968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241095680).

166621968 is an abundant number, since it is smaller than the sum of its proper divisors (315569392).

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

166621968 is a wasteful number, since it uses less digits than its factorization.

166621968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3181 (or 3169 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 166621968 is about 12908.2131993549. The cubic root of 166621968 is about 550.2720065019.

The spelling of 166621968 in words is "one hundred sixty-six million, six hundred twenty-one thousand, nine hundred sixty-eight".