164640112 has 80 divisors (see below), whose sum is σ = 398238400. Its totient is φ = 64198656.

The previous prime is 164640097. The next prime is 164640127. The reversal of 164640112 is 211046461.

It is an interprime number because it is at equal distance from previous prime (164640097) and next prime (164640127).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105514 + ... + 107062.

It is an arithmetic number, because the mean of its divisors is an integer number (4977980).

Almost surely, 2^164640112 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 164640112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199119200).

164640112 is an abundant number, since it is smaller than the sum of its proper divisors (233598288).

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

164640112 is a wasteful number, since it uses less digits than its factorization.

164640112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 164640112 is about 12831.2163102334. The cubic root of 164640112 is about 548.0815940451.

Adding to 164640112 its reverse (211046461), we get a palindrome (375686573).

The spelling of 164640112 in words is "one hundred sixty-four million, six hundred forty thousand, one hundred twelve".