256127040 has 168 divisors, whose sum is σ = 948875928. Its totient is φ = 63037440.

The previous prime is 256127029. The next prime is 256127089. The reversal of 256127040 is 40721652.

256127040 is a `hidden beast` number, since 2 + 5 + 612 + 7 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17239104 + 238887936 = 4152^2 + 15456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 256126995 and 256127013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34020 + ... + 40860.

It is an arithmetic number, because the mean of its divisors is an integer number (5648071).

Almost surely, 2^256127040 is an apocalyptic number.

256127040 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 256127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474437964).

256127040 is an abundant number, since it is smaller than the sum of its proper divisors (692748888).

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

256127040 is a wasteful number, since it uses less digits than its factorization.

256127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6877 (or 6864 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 256127040 is about 16003.9695075940. The cubic root of 256127040 is about 635.0654364541.

Adding to 256127040 its reverse (40721652), we get a palindrome (296848692).

The spelling of 256127040 in words is "two hundred fifty-six million, one hundred twenty-seven thousand, forty".