256071680 has 96 divisors (see below), whose sum is σ = 651006720. Its totient is φ = 96337920.

The previous prime is 256071677. The next prime is 256071707. The reversal of 256071680 is 86170652.

It is a self number, because there is not a number n which added to its sum of digits gives 256071680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173345 + ... + 174815.

It is an arithmetic number, because the mean of its divisors is an integer number (6781320).

Almost surely, 2^256071680 is an apocalyptic number.

256071680 is a gapful number since it is divisible by the number (20) 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 256071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325503360).

256071680 is an abundant number, since it is smaller than the sum of its proper divisors (394935040).

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

256071680 is a wasteful number, since it uses less digits than its factorization.

256071680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 256071680 is about 16002.2398432219. The cubic root of 256071680 is about 635.0196782295.

The spelling of 256071680 in words is "two hundred fifty-six million, seventy-one thousand, six hundred eighty".