13509680 has 40 divisors (see below), whose sum is σ = 32087232. Its totient is φ = 5287424.

The previous prime is 13509677. The next prime is 13509689. The reversal of 13509680 is 8690531.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×13509680² = 365022907404800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13509689) 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, 1964 + ... + 5556.

Almost surely, 2^13509680 is an apocalyptic number.

13509680 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 13509680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16043616).

13509680 is an abundant number, since it is smaller than the sum of its proper divisors (18577552).

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

13509680 is a wasteful number, since it uses less digits than its factorization.

13509680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3653 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 13509680 is about 3675.5516592751. The cubic root of 13509680 is about 238.1670554655.

The spelling of 13509680 in words is "thirteen million, five hundred nine thousand, six hundred eighty".