264112128 has 288 divisors, whose sum is σ = 919900800. Its totient is φ = 71368704.

The previous prime is 264112117. The next prime is 264112169. The reversal of 264112128 is 821211462.

264112128 is a `hidden beast` number, since 2 + 641 + 1 + 2 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

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, 2967508 + ... + 2967596.

It is an arithmetic number, because the mean of its divisors is an integer number (3194100).

Almost surely, 2^264112128 is an apocalyptic number.

264112128 is a gapful number since it is divisible by the number (28) 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 264112128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459950400).

264112128 is an abundant number, since it is smaller than the sum of its proper divisors (655788672).

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

264112128 is a wasteful number, since it uses less digits than its factorization.

264112128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 124 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 264112128 is about 16251.5269436444. The cubic root of 264112128 is about 641.5976749646.

The spelling of 264112128 in words is "two hundred sixty-four million, one hundred twelve thousand, one hundred twenty-eight".