255721664 has 56 divisors (see below), whose sum is σ = 555498000. Its totient is φ = 115834880.

The previous prime is 255721651. The next prime is 255721709. The reversal of 255721664 is 466127552.

255721664 is digitally balanced in base 3, 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 (38) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is an unprimeable number.

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, 315692 + ... + 316500.

Almost surely, 2^255721664 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 255721664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277749000).

255721664 is an abundant number, since it is smaller than the sum of its proper divisors (299776336).

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

255721664 is a wasteful number, since it uses less digits than its factorization.

255721664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1271 counting only the distinct ones).

The product of its digits is 100800, while the sum is 38.

The square root of 255721664 is about 15991.2996344887. The cubic root of 255721664 is about 634.7302170983.

It can be divided in two parts, 25 and 5721664, that multiplied together give a square (143041600 = 11960²).

The spelling of 255721664 in words is "two hundred fifty-five million, seven hundred twenty-one thousand, six hundred sixty-four".