13678860 has 144 divisors (see below), whose sum is σ = 44271360. Its totient is φ = 3144960.

The previous prime is 13678853. The next prime is 13678891. The reversal of 13678860 is 6887631.

Added to its reverse (6887631) it gives a triangular number (20566491 = T₆₄₁₃).

It is a super-2 number, since 2×13678860² = 374222421799200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192625 + ... + 192695.

It is an arithmetic number, because the mean of its divisors is an integer number (307440).

Almost surely, 2^13678860 is an apocalyptic number.

13678860 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 13678860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22135680).

13678860 is an abundant number, since it is smaller than the sum of its proper divisors (30592500).

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

13678860 is a wasteful number, since it uses less digits than its factorization.

13678860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 13678860 is about 3698.4942882205. The cubic root of 13678860 is about 239.1571126638.

Adding to 13678860 its reverse (6887631), we get a triangular number (20566491 = T₆₄₁₃).

The spelling of 13678860 in words is "thirteen million, six hundred seventy-eight thousand, eight hundred sixty".