13712416 has 48 divisors (see below), whose sum is σ = 29127168. Its totient is φ = 6336000.

The previous prime is 13712411. The next prime is 13712417. The reversal of 13712416 is 61421731.

It is not an unprimeable number, because it can be changed into a prime (13712411) 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, 22516 + ... + 23116.

It is an arithmetic number, because the mean of its divisors is an integer number (606816).

Almost surely, 2^13712416 is an apocalyptic number.

13712416 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 13712416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14563584).

13712416 is an abundant number, since it is smaller than the sum of its proper divisors (15414752).

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

13712416 is a wasteful number, since it uses less digits than its factorization.

13712416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 657 counting only the distinct ones).

The product of its digits is 1008, while the sum is 25.

The square root of 13712416 is about 3703.0279502051. The cubic root of 13712416 is about 239.3525140047.

The spelling of 13712416 in words is "thirteen million, seven hundred twelve thousand, four hundred sixteen".