12461760 has 84 divisors (see below), whose sum is σ = 42873168. Its totient is φ = 3322368.

The previous prime is 12461759. The next prime is 12461773. The reversal of 12461760 is 6716421.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 717 + ... + 5043.

Almost surely, 2^12461760 is an apocalyptic number.

12461760 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 12461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21436584).

12461760 is an abundant number, since it is smaller than the sum of its proper divisors (30411408).

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

12461760 is a wasteful number, since it uses less digits than its factorization.

12461760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4350 (or 4337 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12461760 is about 3530.1218109295. The cubic root of 12461760 is about 231.8425407978.

It can be divided in two parts, 1 and 2461760, that added together give a square (2461761 = 1569²).

The spelling of 12461760 in words is "twelve million, four hundred sixty-one thousand, seven hundred sixty".