13300640 has 48 divisors (see below), whose sum is σ = 31783752. Its totient is φ = 5259264.

The previous prime is 13300633. The next prime is 13300657. The reversal of 13300640 is 4600331.

13300640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12588304 + 712336 = 3548^2 + 844^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15092 + ... + 15948.

Almost surely, 2^13300640 is an apocalyptic number.

13300640 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 13300640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15891876).

13300640 is an abundant number, since it is smaller than the sum of its proper divisors (18483112).

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

13300640 is an equidigital number, since it uses as much as digits as its factorization.

13300640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 13300640 is about 3647.0042500661. The cubic root of 13300640 is about 236.9322505108.

Adding to 13300640 its reverse (4600331), we get a palindrome (17900971).

The spelling of 13300640 in words is "thirteen million, three hundred thousand, six hundred forty".