13582440 has 96 divisors (see below), whose sum is σ = 45700200. Its totient is φ = 3494400.

The previous prime is 13582427. The next prime is 13582447. The reversal of 13582440 is 4428531.

It can be written as a sum of positive squares in 4 ways, for example, as 6260004 + 7322436 = 2502^2 + 2706^2 .

It is not an unprimeable number, because it can be changed into a prime (13582447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9790 + ... + 11090.

Almost surely, 2^13582440 is an apocalyptic number.

13582440 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 13582440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22850100).

13582440 is an abundant number, since it is smaller than the sum of its proper divisors (32117760).

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

13582440 is a wasteful number, since it uses less digits than its factorization.

13582440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 13582440 is about 3685.4362021340. The cubic root of 13582440 is about 238.5938609771.

The spelling of 13582440 in words is "thirteen million, five hundred eighty-two thousand, four hundred forty".