164168056 has 64 divisors (see below), whose sum is σ = 351388800. Its totient is φ = 71280000.

The previous prime is 164168047. The next prime is 164168057. The reversal of 164168056 is 650861461.

164168056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164168056² = 53902301221638272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164168057) 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 15 ways as a sum of consecutive naturals, for example, 495811 + ... + 496141.

It is an arithmetic number, because the mean of its divisors is an integer number (5490450).

Almost surely, 2^164168056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164168056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175694400).

164168056 is an abundant number, since it is smaller than the sum of its proper divisors (187220744).

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

164168056 is a wasteful number, since it uses less digits than its factorization.

164168056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 164168056 is about 12812.8082792181. The cubic root of 164168056 is about 547.5572729088.

The spelling of 164168056 in words is "one hundred sixty-four million, one hundred sixty-eight thousand, fifty-six".