126606432 has 48 divisors (see below), whose sum is σ = 333087552. Its totient is φ = 42107520.

The previous prime is 126606413. The next prime is 126606433. The reversal of 126606432 is 234606621.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 126606432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126606433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51307 + ... + 53717.

It is an arithmetic number, because the mean of its divisors is an integer number (6939324).

Almost surely, 2^126606432 is an apocalyptic number.

126606432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126606432 is an abundant number, since it is smaller than the sum of its proper divisors (206481120).

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

126606432 is a wasteful number, since it uses less digits than its factorization.

126606432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 126606432 is about 11251.9523639233. The cubic root of 126606432 is about 502.1327987368.

The spelling of 126606432 in words is "one hundred twenty-six million, six hundred six thousand, four hundred thirty-two".