12826440 has 192 divisors, whose sum is σ = 47174400. Its totient is φ = 2995200.

The previous prime is 12826421. The next prime is 12826459. The reversal of 12826440 is 4462821.

12826440 is a `hidden beast` number, since 12 + 8 + 2 + 644 + 0 = 666.

12826440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12826421) and next prime (12826459).

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, 162321 + ... + 162399.

It is an arithmetic number, because the mean of its divisors is an integer number (245700).

Almost surely, 2^12826440 is an apocalyptic number.

12826440 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 12826440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200).

12826440 is an abundant number, since it is smaller than the sum of its proper divisors (34347960).

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

12826440 is a wasteful number, since it uses less digits than its factorization.

12826440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 12826440 is about 3581.4019601268. The cubic root of 12826440 is about 234.0823729281.

The spelling of 12826440 in words is "twelve million, eight hundred twenty-six thousand, four hundred forty".