13243680 has 144 divisors (see below), whose sum is σ = 47940984. Its totient is φ = 3317760.

The previous prime is 13243661. The next prime is 13243717. The reversal of 13243680 is 8634231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11532816 + 1710864 = 3396^2 + 1308^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24210 + ... + 24750.

Almost surely, 2^13243680 is an apocalyptic number.

13243680 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 13243680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23970492).

13243680 is an abundant number, since it is smaller than the sum of its proper divisors (34697304).

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

13243680 is a wasteful number, since it uses less digits than its factorization.

13243680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 13243680 is about 3639.1867223323. The cubic root of 13243680 is about 236.5935457063.

The spelling of 13243680 in words is "thirteen million, two hundred forty-three thousand, six hundred eighty".