13009640 has 64 divisors (see below), whose sum is σ = 33868800. Its totient is φ = 4405248.

The previous prime is 13009639. The next prime is 13009663. The reversal of 13009640 is 4690031.

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, 26921 + ... + 27399.

It is an arithmetic number, because the mean of its divisors is an integer number (529200).

Almost surely, 2^13009640 is an apocalyptic number.

13009640 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 13009640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

13009640 is an abundant number, since it is smaller than the sum of its proper divisors (20859160).

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

13009640 is a wasteful number, since it uses less digits than its factorization.

13009640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 13009640 is about 3606.8878552015. The cubic root of 13009640 is about 235.1915745821.

Adding to 13009640 its reverse (4690031), we get a palindrome (17699671).

The spelling of 13009640 in words is "thirteen million, nine thousand, six hundred forty".