256098688 has 64 divisors (see below), whose sum is σ = 530824320. Its totient is φ = 122941440.

The previous prime is 256098683. The next prime is 256098691. The reversal of 256098688 is 886890652.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256098683) 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 7 ways as a sum of consecutive naturals, for example, 924406 + ... + 924682.

It is an arithmetic number, because the mean of its divisors is an integer number (8294130).

Almost surely, 2^256098688 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 256098688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265412160).

256098688 is an abundant number, since it is smaller than the sum of its proper divisors (274725632).

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

256098688 is a wasteful number, since it uses less digits than its factorization.

256098688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 52.

The square root of 256098688 is about 16003.0837028368. The cubic root of 256098688 is about 635.0420027190.

The spelling of 256098688 in words is "two hundred fifty-six million, ninety-eight thousand, six hundred eighty-eight".