13485744 has 160 divisors (see below), whose sum is σ = 42854400. Its totient is φ = 4043520.

The previous prime is 13485739. The next prime is 13485781. The reversal of 13485744 is 44758431.

13485744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (53760) is a multiple of the sum of its prime factors (120).

It is a junction number, because it is equal to n+sod(n) for n = 13485699 and 13485708.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254422 + ... + 254474.

It is an arithmetic number, because the mean of its divisors is an integer number (267840).

Almost surely, 2^13485744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13485744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21427200).

13485744 is an abundant number, since it is smaller than the sum of its proper divisors (29368656).

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

13485744 is a wasteful number, since it uses less digits than its factorization.

13485744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 108 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 13485744 is about 3672.2941058690. The cubic root of 13485744 is about 238.0263134996.

The spelling of 13485744 in words is "thirteen million, four hundred eighty-five thousand, seven hundred forty-four".