13609680 has 80 divisors (see below), whose sum is σ = 48223104. Its totient is φ = 3110400.

The previous prime is 13609669. The next prime is 13609691. The reversal of 13609680 is 8690631.

It is an interprime number because it is at equal distance from previous prime (13609669) and next prime (13609691).

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

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 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, 2371 + ... + 5730.

Almost surely, 2^13609680 is an apocalyptic number.

13609680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13609680 is an abundant number, since it is smaller than the sum of its proper divisors (34613424).

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

13609680 is a wasteful number, since it uses less digits than its factorization.

13609680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8124 (or 8118 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 13609680 is about 3689.1299787348. The cubic root of 13609680 is about 238.7532569021.

The spelling of 13609680 in words is "thirteen million, six hundred nine thousand, six hundred eighty".