166007940 has 192 divisors, whose sum is σ = 568995840. Its totient is φ = 35320320.

The previous prime is 166007939. The next prime is 166007953. The reversal of 166007940 is 49700661.

It is a happy number.

It is a super-2 number, since 2×166007940² = 55117272286087200, which contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 566434 + ... + 566726.

It is an arithmetic number, because the mean of its divisors is an integer number (2963520).

Almost surely, 2^166007940 is an apocalyptic number.

166007940 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 166007940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284497920).

166007940 is an abundant number, since it is smaller than the sum of its proper divisors (402987900).

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

166007940 is a wasteful number, since it uses less digits than its factorization.

166007940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 166007940 is about 12884.4068547993. The cubic root of 166007940 is about 549.5952283528.

The spelling of 166007940 in words is "one hundred sixty-six million, seven thousand, nine hundred forty".