13864576 has 64 divisors (see below), whose sum is σ = 30967200. Its totient is φ = 6128640.

The previous prime is 13864559. The next prime is 13864583. The reversal of 13864576 is 67546831.

It is a happy number.

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

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, 60430 + ... + 60658.

Almost surely, 2^13864576 is an apocalyptic number.

13864576 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 13864576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15483600).

13864576 is an abundant number, since it is smaller than the sum of its proper divisors (17102624).

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

13864576 is a wasteful number, since it uses less digits than its factorization.

13864576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 285 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The square root of 13864576 is about 3723.5166173928. The cubic root of 13864576 is about 240.2345854471.

The spelling of 13864576 in words is "thirteen million, eight hundred sixty-four thousand, five hundred seventy-six".