13535680 has 28 divisors (see below), whose sum is σ = 32232600. Its totient is φ = 5414144.

The previous prime is 13535659. The next prime is 13535701. The reversal of 13535680 is 8653531.

It is an interprime number because it is at equal distance from previous prime (13535659) and next prime (13535701).

It is a super-3 number, since 3×13535680³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20830 + ... + 21469.

Almost surely, 2^13535680 is an apocalyptic number.

13535680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13535680 is an abundant number, since it is smaller than the sum of its proper divisors (18696920).

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

13535680 is an equidigital number, since it uses as much as digits as its factorization.

13535680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42316 (or 42306 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 13535680 is about 3679.0868432262. The cubic root of 13535680 is about 238.3197453689.

The spelling of 13535680 in words is "thirteen million, five hundred thirty-five thousand, six hundred eighty".