13678580 has 18 divisors (see below), whose sum is σ = 28759794. Its totient is φ = 5464816.

The previous prime is 13678571. The next prime is 13678589. The reversal of 13678580 is 8587631.

It is an interprime number because it is at equal distance from previous prime (13678571) and next prime (13678589).

It can be written as a sum of positive squares in only one way, i.e., 10942864 + 2735716 = 3308^2 + 1654^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13678589) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16127 + ... + 16953.

Almost surely, 2^13678580 is an apocalyptic number.

13678580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13678580 is an abundant number, since it is smaller than the sum of its proper divisors (15081214).

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

13678580 is an frugal number, since it uses more digits than its factorization.

13678580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 13678580 is about 3698.4564347847. The cubic root of 13678580 is about 239.1554808405.

The spelling of 13678580 in words is "thirteen million, six hundred seventy-eight thousand, five hundred eighty".