13262640 has 80 divisors (see below), whose sum is σ = 41732448. Its totient is φ = 3483648.

The previous prime is 13262633. The next prime is 13262659. The reversal of 13262640 is 4626231.

13262640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 13262640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17142 + ... + 17898.

Almost surely, 2^13262640 is an apocalyptic number.

13262640 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 13262640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20866224).

13262640 is an abundant number, since it is smaller than the sum of its proper divisors (28469808).

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

13262640 is a wasteful number, since it uses less digits than its factorization.

13262640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 13262640 is about 3641.7907682897. The cubic root of 13262640 is about 236.7063963807.

Adding to 13262640 its reverse (4626231), we get a palindrome (17888871).

The spelling of 13262640 in words is "thirteen million, two hundred sixty-two thousand, six hundred forty".