13680310 has 24 divisors (see below), whose sum is σ = 28645920. Its totient is φ = 4690224.

The previous prime is 13680301. The next prime is 13680311. The reversal of 13680310 is 1308631.

It is a super-2 number, since 2×13680310² = 374301763392200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13680311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13470 + ... + 14449.

It is an arithmetic number, because the mean of its divisors is an integer number (1193580).

Almost surely, 2^13680310 is an apocalyptic number.

13680310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13680310 is an abundant number, since it is smaller than the sum of its proper divisors (14965610).

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

13680310 is a wasteful number, since it uses less digits than its factorization.

13680310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27940 (or 27933 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 13680310 is about 3698.6903087444. The cubic root of 13680310 is about 239.1655628213.

Adding to 13680310 its reverse (1308631), we get a palindrome (14988941).

The spelling of 13680310 in words is "thirteen million, six hundred eighty thousand, three hundred ten".