13080672 has 72 divisors (see below), whose sum is σ = 40589640. Its totient is φ = 3962880.

The previous prime is 13080671. The next prime is 13080673. The reversal of 13080672 is 27608031.

It is an interprime number because it is at equal distance from previous prime (13080671) and next prime (13080673).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×13080672² = 342207959943168, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13080671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1104 + ... + 5232.

It is an arithmetic number, because the mean of its divisors is an integer number (563745).

Almost surely, 2^13080672 is an apocalyptic number.

13080672 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 13080672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20294820).

13080672 is an abundant number, since it is smaller than the sum of its proper divisors (27508968).

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

13080672 is a wasteful number, since it uses less digits than its factorization.

13080672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4156 (or 4145 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 13080672 is about 3616.7211670241. The cubic root of 13080672 is about 235.6188427447.

The spelling of 13080672 in words is "thirteen million, eighty thousand, six hundred seventy-two".