13469680 has 80 divisors (see below), whose sum is σ = 36426240. Its totient is φ = 4536576.

The previous prime is 13469669. The next prime is 13469761. The reversal of 13469680 is 8696431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37341 + ... + 37699.

It is an arithmetic number, because the mean of its divisors is an integer number (455328).

Almost surely, 2^13469680 is an apocalyptic number.

13469680 is a gapful number since it is divisible by the number (10) 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 13469680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18213120).

13469680 is an abundant number, since it is smaller than the sum of its proper divisors (22956560).

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

13469680 is a wasteful number, since it uses less digits than its factorization.

13469680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 13469680 is about 3670.1062654915. The cubic root of 13469680 is about 237.9317649172.

It can be divided in two parts, 1346 and 9680, that added together give a triangular number (11026 = T₁₄₈).

The spelling of 13469680 in words is "thirteen million, four hundred sixty-nine thousand, six hundred eighty".