255104640 has 640 divisors, whose sum is σ = 1125590400. Its totient is φ = 53747712.

The previous prime is 255104639. The next prime is 255104671. The reversal of 255104640 is 46401552.

255104640 is a `hidden beast` number, since 2 + 5 + 5 + 10 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6894702 + ... + 6894738.

It is an arithmetic number, because the mean of its divisors is an integer number (1758735).

Almost surely, 2^255104640 is an apocalyptic number.

255104640 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 255104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562795200).

255104640 is an abundant number, since it is smaller than the sum of its proper divisors (870485760).

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

255104640 is a wasteful number, since it uses less digits than its factorization.

255104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 255104640 is about 15971.9954921106. The cubic root of 255104640 is about 634.2192980651.

The spelling of 255104640 in words is "two hundred fifty-five million, one hundred four thousand, six hundred forty".