164214612 has 72 divisors (see below), whose sum is σ = 424569600. Its totient is φ = 53505408.

The previous prime is 164214593. The next prime is 164214613. The reversal of 164214612 is 216412461.

164214612 is a `hidden beast` number, since 1 + 6 + 42 + 1 + 4 + 612 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164214613) 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, 342589 + ... + 343067.

It is an arithmetic number, because the mean of its divisors is an integer number (5896800).

Almost surely, 2^164214612 is an apocalyptic number.

164214612 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 164214612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212284800).

164214612 is an abundant number, since it is smaller than the sum of its proper divisors (260354988).

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

164214612 is a wasteful number, since it uses less digits than its factorization.

164214612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 680 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 164214612 is about 12814.6249262317. The cubic root of 164214612 is about 547.6090281399.

The spelling of 164214612 in words is "one hundred sixty-four million, two hundred fourteen thousand, six hundred twelve".