13854960 has 120 divisors (see below), whose sum is σ = 53196000. Its totient is φ = 3165696.

The previous prime is 13854959. The next prime is 13855001. The reversal of 13854960 is 6945831.

13854960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3666 + ... + 6414.

It is an arithmetic number, because the mean of its divisors is an integer number (443300).

Almost surely, 2^13854960 is an apocalyptic number.

13854960 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 13854960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26598000).

13854960 is an abundant number, since it is smaller than the sum of its proper divisors (39341040).

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

13854960 is a wasteful number, since it uses less digits than its factorization.

13854960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2775 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 13854960 is about 3722.2251409607. The cubic root of 13854960 is about 240.1790330799.

The spelling of 13854960 in words is "thirteen million, eight hundred fifty-four thousand, nine hundred sixty".