126882832 has 40 divisors (see below), whose sum is σ = 261753336. Its totient is φ = 59375616.

The previous prime is 126882829. The next prime is 126882857. The reversal of 126882832 is 238288621.

It can be written as a sum of positive squares in 4 ways, for example, as 54700816 + 72182016 = 7396^2 + 8496^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51288 + ... + 53704.

Almost surely, 2^126882832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126882832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130876668).

126882832 is an abundant number, since it is smaller than the sum of its proper divisors (134870504).

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

126882832 is a wasteful number, since it uses less digits than its factorization.

126882832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635 (or 2629 counting only the distinct ones).

The product of its digits is 73728, while the sum is 40.

The square root of 126882832 is about 11264.2279806474. The cubic root of 126882832 is about 502.4979424517.

It can be divided in two parts, 1268 and 82832, that added together give a square (84100 = 290²).

The spelling of 126882832 in words is "one hundred twenty-six million, eight hundred eighty-two thousand, eight hundred thirty-two".