255633840 has 640 divisors, whose sum is σ = 1157068800. Its totient is φ = 50319360.

The previous prime is 255633817. The next prime is 255633841. The reversal of 255633840 is 48336552.

It is a happy number.

255633840 is a `hidden beast` number, since 25 + 563 + 38 + 40 = 666.

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 = 255633795 and 255633804.

It is not an unprimeable number, because it can be changed into a prime (255633841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4823254 + ... + 4823306.

It is an arithmetic number, because the mean of its divisors is an integer number (1807920).

Almost surely, 2^255633840 is an apocalyptic number.

255633840 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 255633840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578534400).

255633840 is an abundant number, since it is smaller than the sum of its proper divisors (901434960).

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

255633840 is a wasteful number, since it uses less digits than its factorization.

255633840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 255633840 is about 15988.5534054836. The cubic root of 255633840 is about 634.6575457304.

It can be divided in two parts, 25563 and 3840, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 255633840 in words is "two hundred fifty-five million, six hundred thirty-three thousand, eight hundred forty".