13627840 has 56 divisors (see below), whose sum is σ = 33357312. Its totient is φ = 5299200.

The previous prime is 13627793. The next prime is 13627843. The reversal of 13627840 is 4872631.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13627843) 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, 11265 + ... + 12415.

Almost surely, 2^13627840 is an apocalyptic number.

13627840 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 13627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16678656).

13627840 is an abundant number, since it is smaller than the sum of its proper divisors (19729472).

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

13627840 is a wasteful number, since it uses less digits than its factorization.

13627840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 13627840 is about 3691.5904431559. The cubic root of 13627840 is about 238.8594027265.

The spelling of 13627840 in words is "thirteen million, six hundred twenty-seven thousand, eight hundred forty".