126306432 has 256 divisors, whose sum is σ = 446515200. Its totient is φ = 34366464.

The previous prime is 126306421. The next prime is 126306443. The reversal of 126306432 is 234603621.

126306432 is a `hidden beast` number, since 12 + 6 + 3 + 0 + 643 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (126306421) and next prime (126306443).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 126306396 and 126306405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 556303 + ... + 556529.

It is an arithmetic number, because the mean of its divisors is an integer number (1744200).

Almost surely, 2^126306432 is an apocalyptic number.

126306432 is a gapful number since it is divisible by the number (12) 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 126306432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223257600).

126306432 is an abundant number, since it is smaller than the sum of its proper divisors (320208768).

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

126306432 is a wasteful number, since it uses less digits than its factorization.

126306432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 126306432 is about 11238.6134376088. The cubic root of 126306432 is about 501.7358758293.

The spelling of 126306432 in words is "one hundred twenty-six million, three hundred six thousand, four hundred thirty-two".