13541440 has 56 divisors (see below), whose sum is σ = 35186112. Its totient is φ = 4922880.

The previous prime is 13541419. The next prime is 13541441. The reversal of 13541440 is 4414531.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (13541441) 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, 1597 + ... + 5443.

Almost surely, 2^13541440 is an apocalyptic number.

13541440 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 13541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17593056).

13541440 is an abundant number, since it is smaller than the sum of its proper divisors (21644672).

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

13541440 is a wasteful number, since it uses less digits than its factorization.

13541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3875 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 13541440 is about 3679.8695629057. The cubic root of 13541440 is about 238.3535455932.

Adding to 13541440 its product of nonzero digits (960), we get a square (13542400 = 3680²).

Adding to 13541440 its reverse (4414531), we get a palindrome (17955971).

The spelling of 13541440 in words is "thirteen million, five hundred forty-one thousand, four hundred forty".