13079616 has 84 divisors (see below), whose sum is σ = 38106096. Its totient is φ = 3956480.

The previous prime is 13079597. The next prime is 13079623. The reversal of 13079616 is 61697031.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22951 + ... + 23513.

It is an arithmetic number, because the mean of its divisors is an integer number (453644).

Almost surely, 2^13079616 is an apocalyptic number.

13079616 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 13079616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19053048).

13079616 is an abundant number, since it is smaller than the sum of its proper divisors (25026480).

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

13079616 is a wasteful number, since it uses less digits than its factorization.

13079616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 13079616 is about 3616.5751754941. The cubic root of 13079616 is about 235.6125020870.

It can be divided in two parts, 13079 and 616, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 13079616 in words is "thirteen million, seventy-nine thousand, six hundred sixteen".