13261848 has 64 divisors (see below), whose sum is σ = 35328000. Its totient is φ = 4136832.

The previous prime is 13261847. The next prime is 13261861. The reversal of 13261848 is 84816231.

It is a super-2 number, since 2×13261848² = 351753224750208, which contains 22 as substring.

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

Its product of digits (9216) is a multiple of the sum of its prime factors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13261841) 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, 57798 + ... + 58026.

It is an arithmetic number, because the mean of its divisors is an integer number (552000).

Almost surely, 2^13261848 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 13261848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17664000).

13261848 is an abundant number, since it is smaller than the sum of its proper divisors (22066152).

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

13261848 is a wasteful number, since it uses less digits than its factorization.

13261848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 380 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 13261848 is about 3641.6820289531. The cubic root of 13261848 is about 236.7016845184.

The spelling of 13261848 in words is "thirteen million, two hundred sixty-one thousand, eight hundred forty-eight".