256126840 has 64 divisors (see below), whose sum is σ = 627588000. Its totient is φ = 93703680.

The previous prime is 256126837. The next prime is 256126853. The reversal of 256126840 is 48621652.

It is a junction number, because it is equal to n+sod(n) for n = 256126796 and 256126805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16230 + ... + 27850.

Almost surely, 2^256126840 is an apocalyptic number.

256126840 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 256126840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313794000).

256126840 is an abundant number, since it is smaller than the sum of its proper divisors (371461160).

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

256126840 is a wasteful number, since it uses less digits than its factorization.

256126840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11680 (or 11676 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 256126840 is about 16003.9632591430. The cubic root of 256126840 is about 635.0652711545.

The spelling of 256126840 in words is "two hundred fifty-six million, one hundred twenty-six thousand, eight hundred forty".