13513680 has 90 divisors (see below), whose sum is σ = 45717126. Its totient is φ = 3577344.

The previous prime is 13513663. The next prime is 13513733. The reversal of 13513680 is 8631531.

13513680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2143296 + 11370384 = 1464^2 + 3372^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 98572 + ... + 98708.

Almost surely, 2^13513680 is an apocalyptic number.

13513680 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 13513680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22858563).

13513680 is an abundant number, since it is smaller than the sum of its proper divisors (32203446).

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

13513680 is a wasteful number, since it uses less digits than its factorization.

13513680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 13513680 is about 3676.0957550097. The cubic root of 13513680 is about 238.1905589636.

The spelling of 13513680 in words is "thirteen million, five hundred thirteen thousand, six hundred eighty".