166057056 has 288 divisors, whose sum is σ = 560431872. Its totient is φ = 46126080.

The previous prime is 166057051. The next prime is 166057057. The reversal of 166057056 is 650750661.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 166057056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166057051) 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 47 ways as a sum of consecutive naturals, for example, 3133126 + ... + 3133178.

It is an arithmetic number, because the mean of its divisors is an integer number (1945944).

Almost surely, 2^166057056 is an apocalyptic number.

166057056 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 166057056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280215936).

166057056 is an abundant number, since it is smaller than the sum of its proper divisors (394374816).

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

166057056 is a wasteful number, since it uses less digits than its factorization.

166057056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 166057056 is about 12886.3127387162. The cubic root of 166057056 is about 549.6494250727.

The spelling of 166057056 in words is "one hundred sixty-six million, fifty-seven thousand, fifty-six".