256968672 has 96 divisors (see below), whose sum is σ = 705761280. Its totient is φ = 81768960.

The previous prime is 256968637. The next prime is 256968697. The reversal of 256968672 is 276869652.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234558 + ... + 235650.

It is an arithmetic number, because the mean of its divisors is an integer number (7351680).

Almost surely, 2^256968672 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 256968672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352880640).

256968672 is an abundant number, since it is smaller than the sum of its proper divisors (448792608).

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

256968672 is a wasteful number, since it uses less digits than its factorization.

256968672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1208 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The square root of 256968672 is about 16030.2424186286. The cubic root of 256968672 is about 635.7602830618.

The spelling of 256968672 in words is "two hundred fifty-six million, nine hundred sixty-eight thousand, six hundred seventy-two".