12786240 has 112 divisors (see below), whose sum is σ = 42793920. Its totient is φ = 3225600.

The previous prime is 12786239. The next prime is 12786253. The reversal of 12786240 is 4268721.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12786198 and 12786207.

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, 17890 + ... + 18590.

Almost surely, 2^12786240 is an apocalyptic number.

12786240 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 12786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21396960).

12786240 is an abundant number, since it is smaller than the sum of its proper divisors (30007680).

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

12786240 is a wasteful number, since it uses less digits than its factorization.

12786240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 12786240 is about 3575.7852284498. The cubic root of 12786240 is about 233.8375671611.

The spelling of 12786240 in words is "twelve million, seven hundred eighty-six thousand, two hundred forty".