13258080 has 288 divisors, whose sum is σ = 52835328. Its totient is φ = 3110400.

The previous prime is 13258073. The next prime is 13258081. The reversal of 13258080 is 8085231.

Added to its reverse (8085231) it gives a triangular number (21343311 = T₆₅₃₃).

It is a happy number.

13258080 is a `hidden beast` number, since 1 + 3 + 2 + 580 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13258081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427665 + ... + 427695.

It is an arithmetic number, because the mean of its divisors is an integer number (183456).

Almost surely, 2^13258080 is an apocalyptic number.

13258080 is a gapful number since it is divisible by the number (10) 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 13258080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26417664).

13258080 is an abundant number, since it is smaller than the sum of its proper divisors (39577248).

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

13258080 is a wasteful number, since it uses less digits than its factorization.

13258080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 13258080 is about 3641.1646488452. The cubic root of 13258080 is about 236.6792649072.

Adding to 13258080 its reverse (8085231), we get a triangular number (21343311 = T₆₅₃₃).

The spelling of 13258080 in words is "thirteen million, two hundred fifty-eight thousand, eighty".