12456540 has 36 divisors (see below), whose sum is σ = 37785384. Its totient is φ = 3321696.

The previous prime is 12456539. The next prime is 12456581. The reversal of 12456540 is 4565421.

12456540 is a `hidden beast` number, since 1 + 2 + 4 + 5 + 654 + 0 = 666.

12456540 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34422 + ... + 34781.

It is an arithmetic number, because the mean of its divisors is an integer number (1049594).

Almost surely, 2^12456540 is an apocalyptic number.

12456540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12456540 is an abundant number, since it is smaller than the sum of its proper divisors (25328844).

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

12456540 is a wasteful number, since it uses less digits than its factorization.

12456540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69218 (or 69213 counting only the distinct ones).

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

The square root of 12456540 is about 3529.3823822306. The cubic root of 12456540 is about 231.8101647642.

It can be divided in two parts, 12456 and 540, that added together give a square (12996 = 114²).

The spelling of 12456540 in words is "twelve million, four hundred fifty-six thousand, five hundred forty".