255600 has 90 divisors (see below), whose sum is σ = 899496. Its totient is φ = 67200.

The previous prime is 255589. The next prime is 255613. The reversal of 255600 is 6552.

It is a tau number, because it is divible by the number of its divisors (90).

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3565 + ... + 3635.

2²⁵⁵⁶⁰⁰ is an apocalyptic number.

255600 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 255600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449748).

255600 is an abundant number, since it is smaller than the sum of its proper divisors (643896).

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

255600 is a wasteful number, since it uses less digits than its factorization.

255600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 255600 is about 505.5689863906. The cubic root of 255600 is about 63.4629539841.

It can be divided in two parts, 25 and 5600, that added together give a square (5625 = 75²).

The spelling of 255600 in words is "two hundred fifty-five thousand, six hundred".