12468816 has 70 divisors (see below), whose sum is σ = 36254810. Its totient is φ = 4152384.

The previous prime is 12468791. The next prime is 12468823. The reversal of 12468816 is 61886421.

It can be written as a sum of positive squares in only one way, i.e., 10497600 + 1971216 = 3240^2 + 1404^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11130 + ... + 12198.

Almost surely, 2^12468816 is an apocalyptic number.

12468816 is a gapful number since it is divisible by the number (16) 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 12468816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18127405).

12468816 is an abundant number, since it is smaller than the sum of its proper divisors (23785994).

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

12468816 is an equidigital number, since it uses as much as digits as its factorization.

12468816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1074 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 12468816 is about 3531.1210684427. The cubic root of 12468816 is about 231.8862898967.

The spelling of 12468816 in words is "twelve million, four hundred sixty-eight thousand, eight hundred sixteen".