13287792 has 80 divisors (see below), whose sum is σ = 39854592. Its totient is φ = 3736320.

The previous prime is 13287787. The next prime is 13287797. The reversal of 13287792 is 29778231.

It is an interprime number because it is at equal distance from previous prime (13287787) and next prime (13287797).

It is a self number, because there is not a number n which added to its sum of digits gives 13287792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13287797) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23578 + ... + 24134.

Almost surely, 2^13287792 is an apocalyptic number.

13287792 is a gapful number since it is divisible by the number (12) 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 13287792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19927296).

13287792 is an abundant number, since it is smaller than the sum of its proper divisors (26566800).

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

13287792 is a wasteful number, since it uses less digits than its factorization.

13287792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 640 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 13287792 is about 3645.2423787726. The cubic root of 13287792 is about 236.8559362319.

The spelling of 13287792 in words is "thirteen million, two hundred eighty-seven thousand, seven hundred ninety-two".