13191616 has 56 divisors (see below), whose sum is σ = 27716480. Its totient is φ = 6220800.

The previous prime is 13191613. The next prime is 13191637. The reversal of 13191616 is 61619131.

13191616 is nontrivially palindromic in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13191613) 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, 120970 + ... + 121078.

Almost surely, 2^13191616 is an apocalyptic number.

13191616 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 13191616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13858240).

13191616 is an abundant number, since it is smaller than the sum of its proper divisors (14524864).

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

13191616 is a wasteful number, since it uses less digits than its factorization.

13191616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 203 counting only the distinct ones).

The product of its digits is 972, while the sum is 28.

The square root of 13191616 is about 3632.0264316219. The cubic root of 13191616 is about 236.2831037102.

The spelling of 13191616 in words is "thirteen million, one hundred ninety-one thousand, six hundred sixteen".