166959936 has 168 divisors, whose sum is σ = 562502304. Its totient is φ = 46679040.

The previous prime is 166959917. The next prime is 166959937. The reversal of 166959936 is 639959661.

It is a happy number.

166959936 is a `hidden beast` number, since 16 + 6 + 9 + 599 + 36 = 666.

166959936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166959937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81355 + ... + 83381.

It is an arithmetic number, because the mean of its divisors is an integer number (3348228).

Almost surely, 2^166959936 is an apocalyptic number.

166959936 is a gapful number since it is divisible by the number (16) 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 166959936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281251152).

166959936 is an abundant number, since it is smaller than the sum of its proper divisors (395542368).

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

166959936 is a wasteful number, since it uses less digits than its factorization.

166959936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2056 counting only the distinct ones).

The product of its digits is 2361960, while the sum is 54.

The square root of 166959936 is about 12921.2977676393. The cubic root of 166959936 is about 550.6438036759.

The spelling of 166959936 in words is "one hundred sixty-six million, nine hundred fifty-nine thousand, nine hundred thirty-six".