255617560 has 64 divisors (see below), whose sum is σ = 629143200. Its totient is φ = 92697600.

The previous prime is 255617521. The next prime is 255617563. The reversal of 255617560 is 65716552.

255617560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255617563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249850 + ... + 250870.

Almost surely, 2^255617560 is an apocalyptic number.

255617560 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 255617560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314571600).

255617560 is an abundant number, since it is smaller than the sum of its proper divisors (373525640).

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

255617560 is a wasteful number, since it uses less digits than its factorization.

255617560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 37.

The square root of 255617560 is about 15988.0442831511. The cubic root of 255617560 is about 634.6440727565.

The spelling of 255617560 in words is "two hundred fifty-five million, six hundred seventeen thousand, five hundred sixty".