13485440 has 64 divisors (see below), whose sum is σ = 33966000. Its totient is φ = 5105664.

The previous prime is 13485431. The next prime is 13485443. The reversal of 13485440 is 4458431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13485443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11606 + ... + 12714.

Almost surely, 2^13485440 is an apocalyptic number.

13485440 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 13485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16983000).

13485440 is an abundant number, since it is smaller than the sum of its proper divisors (20480560).

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

13485440 is a wasteful number, since it uses less digits than its factorization.

13485440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 13485440 is about 3672.2527146154. The cubic root of 13485440 is about 238.0245249308.

The spelling of 13485440 in words is "thirteen million, four hundred eighty-five thousand, four hundred forty".