126802832 has 40 divisors (see below), whose sum is σ = 271050360. Its totient is φ = 57093120.

The previous prime is 126802831. The next prime is 126802849. The reversal of 126802832 is 238208621.

It can be written as a sum of positive squares in 4 ways, for example, as 6330256 + 120472576 = 2516^2 + 10976^2 .

It is a super-3 number, since 3×126802832³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (126802831) 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, 1094 + ... + 15962.

It is an arithmetic number, because the mean of its divisors is an integer number (6776259).

Almost surely, 2^126802832 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 126802832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135525180).

126802832 is an abundant number, since it is smaller than the sum of its proper divisors (144247528).

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

126802832 is a wasteful number, since it uses less digits than its factorization.

126802832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14931 (or 14925 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 126802832 is about 11260.6763562408. The cubic root of 126802832 is about 502.3923114366.

The spelling of 126802832 in words is "one hundred twenty-six million, eight hundred two thousand, eight hundred thirty-two".