256680540 has 36 divisors (see below), whose sum is σ = 778598184. Its totient is φ = 68448096.

The previous prime is 256680533. The next prime is 256680547. The reversal of 256680540 is 45086652.

256680540 is a `hidden beast` number, since 2 + 56 + 68 + 0 + 540 = 666.

256680540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (256680533) and next prime (256680547).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×256680540² = 131769799229383200, which contains 22 as substring.

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 = 256680495 and 256680504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256680547) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 712822 + ... + 713181.

Almost surely, 2^256680540 is an apocalyptic number.

256680540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256680540 is an abundant number, since it is smaller than the sum of its proper divisors (521917644).

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

256680540 is a wasteful number, since it uses less digits than its factorization.

256680540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426018 (or 1426013 counting only the distinct ones).

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

The square root of 256680540 is about 16021.2527600060. The cubic root of 256680540 is about 635.5225739419.

The spelling of 256680540 in words is "two hundred fifty-six million, six hundred eighty thousand, five hundred forty".