255640896 has 336 divisors, whose sum is σ = 912936960. Its totient is φ = 66769920.

The previous prime is 255640873. The next prime is 255640897. The reversal of 255640896 is 698046552.

255640896 is a `hidden beast` number, since 2 + 5 + 564 + 0 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255640897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3600541 + ... + 3600611.

Almost surely, 2^255640896 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 255640896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456468480).

255640896 is an abundant number, since it is smaller than the sum of its proper divisors (657296064).

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

255640896 is a wasteful number, since it uses less digits than its factorization.

255640896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 255640896 is about 15988.7740618223. The cubic root of 255640896 is about 634.6633849449.

It can be divided in two parts, 2556 and 40896, that multiplied together give a square (104530176 = 10224²).

The spelling of 255640896 in words is "two hundred fifty-five million, six hundred forty thousand, eight hundred ninety-six".