126805632 has 128 divisors (see below), whose sum is σ = 356184000. Its totient is φ = 39911424.

The previous prime is 126805619. The next prime is 126805663. The reversal of 126805632 is 236508621.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 126805593 and 126805602.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 656928 + ... + 657120.

Almost surely, 2^126805632 is an apocalyptic number.

126805632 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 126805632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178092000).

126805632 is an abundant number, since it is smaller than the sum of its proper divisors (229378368).

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

126805632 is a wasteful number, since it uses less digits than its factorization.

126805632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 126805632 is about 11260.8006820119. The cubic root of 126805632 is about 502.3960092723.

The spelling of 126805632 in words is "one hundred twenty-six million, eight hundred five thousand, six hundred thirty-two".