13624880 has 40 divisors (see below), whose sum is σ = 32541072. Its totient is φ = 5301504.

The previous prime is 13624879. The next prime is 13624883. The reversal of 13624880 is 8842631.

It is a tau number, because it is divible by the number of its divisors (40).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (13624883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 659 + ... + 5261.

Almost surely, 2^13624880 is an apocalyptic number.

13624880 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 13624880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16270536).

13624880 is an abundant number, since it is smaller than the sum of its proper divisors (18916192).

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

13624880 is a wasteful number, since it uses less digits than its factorization.

13624880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4653 (or 4647 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 13624880 is about 3691.1895101715. The cubic root of 13624880 is about 238.8421078598.

The spelling of 13624880 in words is "thirteen million, six hundred twenty-four thousand, eight hundred eighty".