256726720 has 56 divisors (see below), whose sum is σ = 627881904. Its totient is φ = 99910656.

The previous prime is 256726649. The next prime is 256726777. The reversal of 256726720 is 27627652.

256726720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 256726720.

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, 999 + ... + 22681.

Almost surely, 2^256726720 is an apocalyptic number.

256726720 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 256726720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313940952).

256726720 is an abundant number, since it is smaller than the sum of its proper divisors (371155184).

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

256726720 is a wasteful number, since it uses less digits than its factorization.

256726720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21737 (or 21727 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The square root of 256726720 is about 16022.6939058324. The cubic root of 256726720 is about 635.5606844438.

The spelling of 256726720 in words is "two hundred fifty-six million, seven hundred twenty-six thousand, seven hundred twenty".