2255688 has 60 divisors (see below), whose sum is σ = 6426915. Its totient is φ = 739152.

The previous prime is 2255681. The next prime is 2255717. The reversal of 2255688 is 8865522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2255688 is a `hidden beast` number, since 22 + 556 + 88 = 666.

2255688 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1127844 + 1127844 = 1062^2 + 1062^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1062.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (38400) is a multiple of the sum of its prime divisors (64).

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (2255681) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 38203 + ... + 38261.

2^2255688 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 2255688

2255688 is an abundant number, since it is smaller than the sum of its proper divisors (4171227).

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

2255688 is an equidigital number, since it uses as much as digits as its factorization.

2255688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 64 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 2255688 is about 1501.8948032402. The cubic root of 2255688 is about 131.1473973639.

The spelling of 2255688 in words is "two million, two hundred fifty-five thousand, six hundred eighty-eight".