13412616 has 64 divisors (see below), whose sum is σ = 39657600. Its totient is φ = 3698688.

The previous prime is 13412579. The next prime is 13412629. The reversal of 13412616 is 61621431.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3496 + ... + 6248.

It is an arithmetic number, because the mean of its divisors is an integer number (619650).

Almost surely, 2^13412616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13412616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19828800).

13412616 is an abundant number, since it is smaller than the sum of its proper divisors (26244984).

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

13412616 is a wasteful number, since it uses less digits than its factorization.

13412616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 2794 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 13412616 is about 3662.3238524194. The cubic root of 13412616 is about 237.5952917703.

It can be divided in two parts, 13412 and 616, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 13412616 in words is "thirteen million, four hundred twelve thousand, six hundred sixteen".