13049680 has 60 divisors (see below), whose sum is σ = 35304660. Its totient is φ = 4472832.

The previous prime is 13049677. The next prime is 13049719. The reversal of 13049680 is 8694031.

13049680 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 2 ways, for example, as 4892944 + 8156736 = 2212^2 + 2856^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2256 + ... + 5584.

It is an arithmetic number, because the mean of its divisors is an integer number (588411).

Almost surely, 2^13049680 is an apocalyptic number.

13049680 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 13049680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17652330).

13049680 is an abundant number, since it is smaller than the sum of its proper divisors (22254980).

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

13049680 is a wasteful number, since it uses less digits than its factorization.

13049680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356 (or 3343 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 13049680 is about 3612.4340824436. The cubic root of 13049680 is about 235.4326118976.

The spelling of 13049680 in words is "thirteen million, forty-nine thousand, six hundred eighty".