12581460 has 96 divisors (see below), whose sum is σ = 40884480. Its totient is φ = 3206016.

The previous prime is 12581453. The next prime is 12581467. The reversal of 12581460 is 6418521.

12581460 is a `hidden beast` number, since 125 + 81 + 460 = 666.

It is an interprime number because it is at equal distance from previous prime (12581453) and next prime (12581467).

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 (12581467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11914 + ... + 12926.

It is an arithmetic number, because the mean of its divisors is an integer number (425880).

Almost surely, 2^12581460 is an apocalyptic number.

12581460 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 12581460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20442240).

12581460 is an abundant number, since it is smaller than the sum of its proper divisors (28303020).

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

12581460 is a wasteful number, since it uses less digits than its factorization.

12581460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1046 counting only the distinct ones).

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

The square root of 12581460 is about 3547.0353818365. The cubic root of 12581460 is about 232.5824889404.

Adding to 12581460 its reverse (6418521), we get a palindrome (18999981).

It can be divided in two parts, 12581 and 460, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 12581460 in words is "twelve million, five hundred eighty-one thousand, four hundred sixty".