13625840 has 80 divisors (see below), whose sum is σ = 34471008. Its totient is φ = 4988928.

The previous prime is 13625819. The next prime is 13625849. The reversal of 13625840 is 4852631.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13625849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58364 + ... + 58596.

Almost surely, 2^13625840 is an apocalyptic number.

13625840 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 13625840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17235504).

13625840 is an abundant number, since it is smaller than the sum of its proper divisors (20845168).

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

13625840 is a wasteful number, since it uses less digits than its factorization.

13625840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 13625840 is about 3691.3195472622. The cubic root of 13625840 is about 238.8477172802.

The spelling of 13625840 in words is "thirteen million, six hundred twenty-five thousand, eight hundred forty".