13493640 has 64 divisors (see below), whose sum is σ = 42249600. Its totient is φ = 3441152.

The previous prime is 13493639. The next prime is 13493647. The reversal of 13493640 is 4639431.

13493640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13493598 and 13493607.

It is not an unprimeable number, because it can be changed into a prime (13493647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316 + ... + 5204.

It is an arithmetic number, because the mean of its divisors is an integer number (660150).

Almost surely, 2^13493640 is an apocalyptic number.

13493640 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 13493640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21124800).

13493640 is an abundant number, since it is smaller than the sum of its proper divisors (28755960).

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

13493640 is a wasteful number, since it uses less digits than its factorization.

13493640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4926 (or 4922 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 13493640 is about 3673.3690258399. The cubic root of 13493640 is about 238.0727598081.

The spelling of 13493640 in words is "thirteen million, four hundred ninety-three thousand, six hundred forty".