12468510 has 96 divisors (see below), whose sum is σ = 34594560. Its totient is φ = 3110400.

The previous prime is 12468457. The next prime is 12468557. The reversal of 12468510 is 1586421.

12468510 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114336 + ... + 114444.

It is an arithmetic number, because the mean of its divisors is an integer number (360360).

Almost surely, 2^12468510 is an apocalyptic number.

12468510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12468510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17297280).

12468510 is an abundant number, since it is smaller than the sum of its proper divisors (22126050).

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

12468510 is a wasteful number, since it uses less digits than its factorization.

12468510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 191 counting only the distinct ones).

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

The square root of 12468510 is about 3531.0777391612. The cubic root of 12468510 is about 231.8843929568.

The spelling of 12468510 in words is "twelve million, four hundred sixty-eight thousand, five hundred ten".