264128256 has 288 divisors, whose sum is σ = 918328320. Its totient is φ = 73322496.

The previous prime is 264128233. The next prime is 264128261. The reversal of 264128256 is 652821462.

It is a happy number.

264128256 is a `hidden beast` number, since 2 + 641 + 2 + 8 + 2 + 5 + 6 = 666.

264128256 is digitally balanced in base 2, 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 (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 264128256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2564301 + ... + 2564403.

It is an arithmetic number, because the mean of its divisors is an integer number (3188640).

Almost surely, 2^264128256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264128256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459164160).

264128256 is an abundant number, since it is smaller than the sum of its proper divisors (654200064).

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

264128256 is a wasteful number, since it uses less digits than its factorization.

264128256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 168 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 264128256 is about 16252.0231355976. The cubic root of 264128256 is about 641.6107344137.

The spelling of 264128256 in words is "two hundred sixty-four million, one hundred twenty-eight thousand, two hundred fifty-six".