13486338 has 80 divisors (see below), whose sum is σ = 32931360. Its totient is φ = 4109184.

The previous prime is 13486337. The next prime is 13486339. The reversal of 13486338 is 83368431.

It is a happy number.

13486338 is a `hidden beast` number, since 13 + 4 + 8 + 633 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13486337) and next prime (13486339).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13486331) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 162445 + ... + 162527.

It is an arithmetic number, because the mean of its divisors is an integer number (411642).

Almost surely, 2^13486338 is an apocalyptic number.

13486338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13486338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16465680).

13486338 is an abundant number, since it is smaller than the sum of its proper divisors (19445022).

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

13486338 is a wasteful number, since it uses less digits than its factorization.

13486338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 164 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 13486338 is about 3672.3749808537. The cubic root of 13486338 is about 238.0298081913.

It can be divided in two parts, 13486 and 338, that added together give a cube (13824 = 24³).

The spelling of 13486338 in words is "thirteen million, four hundred eighty-six thousand, three hundred thirty-eight".