13467680 has 48 divisors (see below), whose sum is σ = 32609304. Its totient is φ = 5253120.

The previous prime is 13467677. The next prime is 13467691. The reversal of 13467680 is 8676431.

It can be written as a sum of positive squares in 4 ways, for example, as 7376656 + 6091024 = 2716^2 + 2468^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13467680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5534 + ... + 7586.

Almost surely, 2^13467680 is an apocalyptic number.

13467680 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 13467680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16304652).

13467680 is an abundant number, since it is smaller than the sum of its proper divisors (19141624).

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

13467680 is a wasteful number, since it uses less digits than its factorization.

13467680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 13467680 is about 3669.8337837019. The cubic root of 13467680 is about 237.9199881692.

The spelling of 13467680 in words is "thirteen million, four hundred sixty-seven thousand, six hundred eighty".