12887040 has 88 divisors (see below), whose sum is σ = 41267520. Its totient is φ = 3432448.

The previous prime is 12887029. The next prime is 12887047. The reversal of 12887040 is 4078821.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 = 12886989 and 12887007.

It is not an unprimeable number, because it can be changed into a prime (12887047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14941 + ... + 15779.

Almost surely, 2^12887040 is an apocalyptic number.

12887040 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 12887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20633760).

12887040 is an abundant number, since it is smaller than the sum of its proper divisors (28380480).

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

12887040 is an equidigital number, since it uses as much as digits as its factorization.

12887040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 12887040 is about 3589.8523646523. The cubic root of 12887040 is about 234.4504436237.

The spelling of 12887040 in words is "twelve million, eight hundred eighty-seven thousand, forty".