13677860 has 72 divisors (see below), whose sum is σ = 35421624. Its totient is φ = 4408320.

The previous prime is 13677817. The next prime is 13677883. The reversal of 13677860 is 6877631.

It can be written as a sum of positive squares in 4 ways, for example, as 1623076 + 12054784 = 1274^2 + 3472^2 .

It is a congruent number.

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, 16250 + ... + 17070.

It is an arithmetic number, because the mean of its divisors is an integer number (491967).

Almost surely, 2^13677860 is an apocalyptic number.

13677860 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 13677860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17710812).

13677860 is an abundant number, since it is smaller than the sum of its proper divisors (21743764).

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

13677860 is a wasteful number, since it uses less digits than its factorization.

13677860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 13677860 is about 3698.3590955990. The cubic root of 13677860 is about 239.1512846211.

The spelling of 13677860 in words is "thirteen million, six hundred seventy-seven thousand, eight hundred sixty".