13287120 has 160 divisors (see below), whose sum is σ = 51425280. Its totient is φ = 2757120.

The previous prime is 13287119. The next prime is 13287139. The reversal of 13287120 is 2178231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18121 + ... + 18839.

It is an arithmetic number, because the mean of its divisors is an integer number (321408).

Almost surely, 2^13287120 is an apocalyptic number.

13287120 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 13287120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25712640).

13287120 is an abundant number, since it is smaller than the sum of its proper divisors (38138160).

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

13287120 is a wasteful number, since it uses less digits than its factorization.

13287120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 13287120 is about 3645.1502026666. The cubic root of 13287120 is about 236.8519433470.

Subtracting from 13287120 its reverse (2178231), we obtain a square (11108889 = 3333²).

It can be divided in two parts, 1328 and 7120, that added together give a palindrome (8448).

The spelling of 13287120 in words is "thirteen million, two hundred eighty-seven thousand, one hundred twenty".