13258368 has 96 divisors (see below), whose sum is σ = 40456260. Its totient is φ = 4153344.

The previous prime is 13258363. The next prime is 13258381. The reversal of 13258368 is 86385231.

13258368 is a `hidden beast` number, since 13 + 2 + 583 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10188864 + 3069504 = 3192^2 + 1752^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13258363) 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, 19246 + ... + 19922.

Almost surely, 2^13258368 is an apocalyptic number.

13258368 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 13258368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20228130).

13258368 is an abundant number, since it is smaller than the sum of its proper divisors (27197892).

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

13258368 is a wasteful number, since it uses less digits than its factorization.

13258368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 699 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 13258368 is about 3641.2041964163. The cubic root of 13258368 is about 236.6809786580.

It can be divided in two parts, 132583 and 68, that added together give a cube (132651 = 51³).

The spelling of 13258368 in words is "thirteen million, two hundred fifty-eight thousand, three hundred sixty-eight".