166940928 has 216 divisors, whose sum is σ = 600739776. Its totient is φ = 43315200.

The previous prime is 166940927. The next prime is 166940953. The reversal of 166940928 is 829049661.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (166940927) 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 23 ways as a sum of consecutive naturals, for example, 176938 + ... + 177878.

Almost surely, 2^166940928 is an apocalyptic number.

166940928 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 166940928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300369888).

166940928 is an abundant number, since it is smaller than the sum of its proper divisors (433798848).

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

166940928 is a wasteful number, since it uses less digits than its factorization.

166940928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 964 counting only the distinct ones).

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

The square root of 166940928 is about 12920.5622168697. The cubic root of 166940928 is about 550.6229063779.

The spelling of 166940928 in words is "one hundred sixty-six million, nine hundred forty thousand, nine hundred twenty-eight".