13890960 has 160 divisors (see below), whose sum is σ = 49104000. Its totient is φ = 3608064.

The previous prime is 13890959. The next prime is 13890967. The reversal of 13890960 is 6909831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13890967) 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 31 ways as a sum of consecutive naturals, for example, 127386 + ... + 127494.

It is an arithmetic number, because the mean of its divisors is an integer number (306900).

Almost surely, 2^13890960 is an apocalyptic number.

13890960 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 13890960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24552000).

13890960 is an abundant number, since it is smaller than the sum of its proper divisors (35213040).

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

13890960 is a wasteful number, since it uses less digits than its factorization.

13890960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 13890960 is about 3727.0578208555. The cubic root of 13890960 is about 240.3868760272.

The spelling of 13890960 in words is "thirteen million, eight hundred ninety thousand, nine hundred sixty".