13253760 has 256 divisors, whose sum is σ = 51408000. Its totient is φ = 3207168.

The previous prime is 13253759. The next prime is 13253767. The reversal of 13253760 is 6735231.

13253760 = 42³ + 43³ + ... + 86³.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13253767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224611 + ... + 224669.

Almost surely, 2^13253760 is an apocalyptic number.

13253760 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 13253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25704000).

13253760 is an abundant number, since it is smaller than the sum of its proper divisors (38154240).

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

13253760 is a wasteful number, since it uses less digits than its factorization.

13253760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 13253760 is about 3640.5713837254. The cubic root of 13253760 is about 236.6535556668.

Adding to 13253760 its reverse (6735231), we get a palindrome (19988991).

The spelling of 13253760 in words is "thirteen million, two hundred fifty-three thousand, seven hundred sixty".