13532640 has 144 divisors (see below), whose sum is σ = 47056464. Its totient is φ = 3266560.

The previous prime is 13532633. The next prime is 13532657. The reversal of 13532640 is 4623531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13532640.

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, 57964 + ... + 58196.

It is an arithmetic number, because the mean of its divisors is an integer number (326781).

Almost surely, 2^13532640 is an apocalyptic number.

13532640 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 13532640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23528232).

13532640 is an abundant number, since it is smaller than the sum of its proper divisors (33523824).

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

13532640 is a wasteful number, since it uses less digits than its factorization.

13532640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 13532640 is about 3678.6736740298. The cubic root of 13532640 is about 238.3019024955.

It can be divided in two parts, 1353 and 2640, that added together give a palindrome (3993).

The spelling of 13532640 in words is "thirteen million, five hundred thirty-two thousand, six hundred forty".