164027712 has 112 divisors (see below), whose sum is σ = 455371200. Its totient is φ = 52039680.

The previous prime is 164027707. The next prime is 164027753. The reversal of 164027712 is 217720461.

It is a super-3 number, since 3×164027712³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164027712.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 495387 + ... + 495717.

Almost surely, 2^164027712 is an apocalyptic number.

164027712 is a gapful number since it is divisible by the number (12) 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 164027712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227685600).

164027712 is an abundant number, since it is smaller than the sum of its proper divisors (291343488).

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

164027712 is a wasteful number, since it uses less digits than its factorization.

164027712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 164027712 is about 12807.3304009852. The cubic root of 164027712 is about 547.4011964907.

The spelling of 164027712 in words is "one hundred sixty-four million, twenty-seven thousand, seven hundred twelve".