12426624 has 192 divisors, whose sum is σ = 43280640. Its totient is φ = 3345408.

The previous prime is 12426619. The next prime is 12426653. The reversal of 12426624 is 42662421.

12426624 = T₂₆₄ + T₂₆₅ + ... + T₄₅₂.

12426624 is a `hidden beast` number, since 12 + 4 + 26 + 624 = 666.

12426624 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 tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 185439 + ... + 185505.

It is an arithmetic number, because the mean of its divisors is an integer number (225420).

Almost surely, 2^12426624 is an apocalyptic number.

12426624 is a gapful number since it is divisible by the number (14) 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 12426624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21640320).

12426624 is an abundant number, since it is smaller than the sum of its proper divisors (30854016).

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

12426624 is a wasteful number, since it uses less digits than its factorization.

12426624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 102 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 12426624 is about 3525.1416992796. The cubic root of 12426624 is about 231.6244419245.

The spelling of 12426624 in words is "twelve million, four hundred twenty-six thousand, six hundred twenty-four".