13685376 has 64 divisors (see below), whose sum is σ = 36744480. Its totient is φ = 4512768.

The previous prime is 13685369. The next prime is 13685381. The reversal of 13685376 is 67358631.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×13685376² = 374579032522752, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60175 + ... + 60401.

Almost surely, 2^13685376 is an apocalyptic number.

13685376 is a gapful number since it is divisible by the number (16) 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 13685376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18372240).

13685376 is an abundant number, since it is smaller than the sum of its proper divisors (23059104).

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

13685376 is a wasteful number, since it uses less digits than its factorization.

13685376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 389 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 13685376 is about 3699.3750823619. The cubic root of 13685376 is about 239.1950812365.

The spelling of 13685376 in words is "thirteen million, six hundred eighty-five thousand, three hundred seventy-six".