164211264 has 168 divisors, whose sum is σ = 543641280. Its totient is φ = 46420992.

The previous prime is 164211221. The next prime is 164211277. The reversal of 164211264 is 462112461.

164211264 is a `hidden beast` number, since 1 + 642 + 1 + 12 + 6 + 4 = 666.

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

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, 560302 + ... + 560594.

It is an arithmetic number, because the mean of its divisors is an integer number (3235960).

Almost surely, 2^164211264 is an apocalyptic number.

164211264 is a gapful number since it is divisible by the number (14) 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 164211264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271820640).

164211264 is an abundant number, since it is smaller than the sum of its proper divisors (379430016).

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

164211264 is a wasteful number, since it uses less digits than its factorization.

164211264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 444 counting only the distinct ones).

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

The square root of 164211264 is about 12814.4942935724. The cubic root of 164211264 is about 547.6053065720.

The spelling of 164211264 in words is "one hundred sixty-four million, two hundred eleven thousand, two hundred sixty-four".