255608640 has 336 divisors, whose sum is σ = 1039733760. Its totient is φ = 56401920.

The previous prime is 255608603. The next prime is 255608659. The reversal of 255608640 is 46806552.

255608640 is a `hidden beast` number, since 2 + 5 + 5 + 6 + 0 + 8 + 640 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 255608595 and 255608604.

It is a congruent number.

It is an unprimeable number.

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, 624756 + ... + 625164.

Almost surely, 2^255608640 is an apocalyptic number.

255608640 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 255608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519866880).

255608640 is an abundant number, since it is smaller than the sum of its proper divisors (784125120).

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

255608640 is a wasteful number, since it uses less digits than its factorization.

255608640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 255608640 is about 15987.7653222707. The cubic root of 255608640 is about 634.6366905159.

The spelling of 255608640 in words is "two hundred fifty-five million, six hundred eight thousand, six hundred forty".