12427776 has 160 divisors (see below), whose sum is σ = 39283200. Its totient is φ = 3870720.

The previous prime is 12427759. The next prime is 12427777. The reversal of 12427776 is 67772421.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12427776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12427777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400881 + ... + 400911.

It is an arithmetic number, because the mean of its divisors is an integer number (245520).

Almost surely, 2^12427776 is an apocalyptic number.

12427776 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 12427776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19641600).

12427776 is an abundant number, since it is smaller than the sum of its proper divisors (26855424).

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

12427776 is an equidigital number, since it uses as much as digits as its factorization.

12427776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 65 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 12427776 is about 3525.3050931799. The cubic root of 12427776 is about 231.6315992214.

It can be divided in two parts, 12427 and 776, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 12427776 in words is "twelve million, four hundred twenty-seven thousand, seven hundred seventy-six".