13287456 has 192 divisors, whose sum is σ = 47980800. Its totient is φ = 3504384.

The previous prime is 13287451. The next prime is 13287467. The reversal of 13287456 is 65478231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13287456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13287451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1022106 + ... + 1022118.

It is an arithmetic number, because the mean of its divisors is an integer number (249900).

Almost surely, 2^13287456 is an apocalyptic number.

13287456 is a gapful number since it is divisible by the number (16) 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 13287456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23990400).

13287456 is an abundant number, since it is smaller than the sum of its proper divisors (34693344).

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

13287456 is an equidigital number, since it uses as much as digits as its factorization.

13287456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 25 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 13287456 is about 3645.1962910110. The cubic root of 13287456 is about 236.8539398063.

The spelling of 13287456 in words is "thirteen million, two hundred eighty-seven thousand, four hundred fifty-six".