13617680 has 120 divisors (see below), whose sum is σ = 36545280. Its totient is φ = 4700160.

The previous prime is 13617647. The next prime is 13617689. The reversal of 13617680 is 8671631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13617689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 439265 + ... + 439295.

It is an arithmetic number, because the mean of its divisors is an integer number (304544).

Almost surely, 2^13617680 is an apocalyptic number.

13617680 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 13617680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18272640).

13617680 is an abundant number, since it is smaller than the sum of its proper divisors (22927600).

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

13617680 is a wasteful number, since it uses less digits than its factorization.

13617680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 13617680 is about 3690.2140859305. The cubic root of 13617680 is about 238.8000288059.

The spelling of 13617680 in words is "thirteen million, six hundred seventeen thousand, six hundred eighty".