256164736 has 32 divisors (see below), whose sum is σ = 514257480. Its totient is φ = 127096320.

The previous prime is 256164719. The next prime is 256164737. The reversal of 256164736 is 637461652.

It is a tau number, because it is divible by the number of its divisors (32).

256164736 is a modest number, since divided by 164736 gives 256 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256164737) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 9130 + ... + 24406.

Almost surely, 2^256164736 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 256164736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257128740).

256164736 is an abundant number, since it is smaller than the sum of its proper divisors (258092744).

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

256164736 is a wasteful number, since it uses less digits than its factorization.

256164736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15422 (or 15410 counting only the distinct ones).

The product of its digits is 181440, while the sum is 40.

The square root of 256164736 is about 16005.1471720819. The cubic root of 256164736 is about 635.0965905933.

The spelling of 256164736 in words is "two hundred fifty-six million, one hundred sixty-four thousand, seven hundred thirty-six".