13766240 has 48 divisors (see below), whose sum is σ = 32895072. Its totient is φ = 5443584.

The previous prime is 13766227. The next prime is 13766251. The reversal of 13766240 is 4266731.

It is a congruent number.

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, 15077 + ... + 15963.

It is an arithmetic number, because the mean of its divisors is an integer number (685314).

Almost surely, 2^13766240 is an apocalyptic number.

13766240 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 13766240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16447536).

13766240 is an abundant number, since it is smaller than the sum of its proper divisors (19128832).

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

13766240 is an equidigital number, since it uses as much as digits as its factorization.

13766240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 13766240 is about 3710.2883984941. The cubic root of 13766240 is about 239.6652741185.

The spelling of 13766240 in words is "thirteen million, seven hundred sixty-six thousand, two hundred forty".