13045760 has 156 divisors (see below), whose sum is σ = 39218508. Its totient is φ = 4128768.

The previous prime is 13045759. The next prime is 13045801. The reversal of 13045760 is 6754031.

It can be written as a sum of positive squares in 2 ways, for example, as 3211264 + 9834496 = 1792^2 + 3136^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1003514 + ... + 1003526.

Almost surely, 2^13045760 is an apocalyptic number.

13045760 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 13045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19609254).

13045760 is an abundant number, since it is smaller than the sum of its proper divisors (26172748).

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

13045760 is an equidigital number, since it uses as much as digits as its factorization.

13045760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 13045760 is about 3611.8914712378. The cubic root of 13045760 is about 235.4090356295.

Adding to 13045760 its reverse (6754031), we get a palindrome (19799791).

The spelling of 13045760 in words is "thirteen million, forty-five thousand, seven hundred sixty".