13261248 has 336 divisors, whose sum is σ = 53254656. Its totient is φ = 3041280.

The previous prime is 13261231. The next prime is 13261277. The reversal of 13261248 is 84216231.

13261248 is a `hidden beast` number, since 1 + 3 + 2 + 612 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2304) is a multiple of the sum of its prime factors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576565 + ... + 576587.

It is an arithmetic number, because the mean of its divisors is an integer number (158496).

Almost surely, 2^13261248 is an apocalyptic number.

13261248 is a gapful number since it is divisible by the number (18) 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 13261248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26627328).

13261248 is an abundant number, since it is smaller than the sum of its proper divisors (39993408).

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

13261248 is a wasteful number, since it uses less digits than its factorization.

13261248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 59 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 13261248 is about 3641.5996485061. The cubic root of 13261248 is about 236.6981148009.

Adding to 13261248 its reverse (84216231), we get a palindrome (97477479).

The spelling of 13261248 in words is "thirteen million, two hundred sixty-one thousand, two hundred forty-eight".