13345640 has 96 divisors (see below), whose sum is σ = 38167200. Its totient is φ = 4152960.

The previous prime is 13345621. The next prime is 13345643. The reversal of 13345640 is 4654331.

13345640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13345640² = 356212214019200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13345643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21251 + ... + 21869.

It is an arithmetic number, because the mean of its divisors is an integer number (397575).

Almost surely, 2^13345640 is an apocalyptic number.

13345640 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 13345640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19083600).

13345640 is an abundant number, since it is smaller than the sum of its proper divisors (24821560).

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

13345640 is a wasteful number, since it uses less digits than its factorization.

13345640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 13345640 is about 3653.1684877651. The cubic root of 13345640 is about 237.1991536985.

Adding to 13345640 its reverse (4654331), we get a palindrome (17999971).

The spelling of 13345640 in words is "thirteen million, three hundred forty-five thousand, six hundred forty".