164267712 has 168 divisors, whose sum is σ = 543958272. Its totient is φ = 46425600.

The previous prime is 164267699. The next prime is 164267731. The reversal of 164267712 is 217762461.

164267712 is a `hidden beast` number, since 1 + 642 + 6 + 7 + 7 + 1 + 2 = 666.

164267712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

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

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 528037 + ... + 528347.

Almost surely, 2^164267712 is an apocalyptic number.

164267712 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 164267712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271979136).

164267712 is an abundant number, since it is smaller than the sum of its proper divisors (379690560).

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

164267712 is a wasteful number, since it uses less digits than its factorization.

164267712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 454 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 164267712 is about 12816.6966102814. The cubic root of 164267712 is about 547.6680462451.

The spelling of 164267712 in words is "one hundred sixty-four million, two hundred sixty-seven thousand, seven hundred twelve".