13035648 has 64 divisors (see below), whose sum is σ = 35128800. Its totient is φ = 4282368.

The previous prime is 13035647. The next prime is 13035667. The reversal of 13035648 is 84653031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13035643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31668 + ... + 32076.

Almost surely, 2^13035648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13035648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17564400).

13035648 is an abundant number, since it is smaller than the sum of its proper divisors (22093152).

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

13035648 is an equidigital number, since it uses as much as digits as its factorization.

13035648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 13035648 is about 3610.4913793001. The cubic root of 13035648 is about 235.3481966678.

Adding to 13035648 its reverse (84653031), we get a palindrome (97688679).

It can be divided in two parts, 130 and 35648, that added together give a triangular number (35778 = T₂₆₇).

The spelling of 13035648 in words is "thirteen million, thirty-five thousand, six hundred forty-eight".