13264848 has 60 divisors (see below), whose sum is σ = 37372608. Its totient is φ = 4392000.

The previous prime is 13264841. The next prime is 13264871. The reversal of 13264848 is 84846231.

13264848 is a `hidden beast` number, since 1 + 3 + 2 + 648 + 4 + 8 = 666.

13264848 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 (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13264841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35961 + ... + 36327.

Almost surely, 2^13264848 is an apocalyptic number.

13264848 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 13264848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18686304).

13264848 is an abundant number, since it is smaller than the sum of its proper divisors (24107760).

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

13264848 is a wasteful number, since it uses less digits than its factorization.

13264848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 623 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 13264848 is about 3642.0939032375. The cubic root of 13264848 is about 236.7195314911.

It can be divided in two parts, 132 and 64848, that added together give a triangular number (64980 = T₃₆₀).

The spelling of 13264848 in words is "thirteen million, two hundred sixty-four thousand, eight hundred forty-eight".