126685632 has 112 divisors (see below), whose sum is σ = 364845600. Its totient is φ = 38633472.

The previous prime is 126685627. The next prime is 126685661. The reversal of 126685632 is 236586621.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120244 + ... + 121292.

It is an arithmetic number, because the mean of its divisors is an integer number (3257550).

Almost surely, 2^126685632 is an apocalyptic number.

126685632 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 126685632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182422800).

126685632 is an abundant number, since it is smaller than the sum of its proper divisors (238159968).

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

126685632 is a wasteful number, since it uses less digits than its factorization.

126685632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1108 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 126685632 is about 11255.4712029306. The cubic root of 126685632 is about 502.2374817488.

The spelling of 126685632 in words is "one hundred twenty-six million, six hundred eighty-five thousand, six hundred thirty-two".