126706032 has 180 divisors, whose sum is σ = 395372016. Its totient is φ = 39191040.

The previous prime is 126705983. The next prime is 126706039. The reversal of 126706032 is 230607621.

It is a happy number.

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 = 126705987 and 126706005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126706039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1784557 + ... + 1784627.

Almost surely, 2^126706032 is an apocalyptic number.

126706032 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 126706032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197686008).

126706032 is an abundant number, since it is smaller than the sum of its proper divisors (268665984).

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

126706032 is an frugal number, since it uses more digits than its factorization.

126706032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 126706032 is about 11256.3773923941. The cubic root of 126706032 is about 502.2644384882.

The spelling of 126706032 in words is "one hundred twenty-six million, seven hundred six thousand, thirty-two".