12286540 has 96 divisors (see below), whose sum is σ = 32256000. Its totient is φ = 3836160.

The previous prime is 12286507. The next prime is 12286541. The reversal of 12286540 is 4568221.

12286540 = T₃₄₇ + T₃₄₈ + ... + T₄₈₆.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 12286499 and 12286508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12286541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82386 + ... + 82534.

It is an arithmetic number, because the mean of its divisors is an integer number (336000).

Almost surely, 2^12286540 is an apocalyptic number.

12286540 is a gapful number since it is divisible by the number (10) 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 12286540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16128000).

12286540 is an abundant number, since it is smaller than the sum of its proper divisors (19969460).

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

12286540 is a wasteful number, since it uses less digits than its factorization.

12286540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 12286540 is about 3505.2161131662. The cubic root of 12286540 is about 230.7507916321.

The spelling of 12286540 in words is "twelve million, two hundred eighty-six thousand, five hundred forty".