826300132 has 72 divisors (see below), whose sum is σ = 1787599800. Its totient is φ = 332591616.

The previous prime is 826300127. The next prime is 826300159. The reversal of 826300132 is 231003628.

It can be written as a sum of positive squares in 4 ways, for example, as 145298916 + 681001216 = 12054^2 + 26096^2 .

It is a junction number, because it is equal to n+sod(n) for n = 826300097 and 826300106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208344 + ... + 212272.

It is an arithmetic number, because the mean of its divisors is an integer number (24827775).

Almost surely, 2^826300132 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 826300132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893799900).

826300132 is an abundant number, since it is smaller than the sum of its proper divisors (961299668).

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

826300132 is a wasteful number, since it uses less digits than its factorization.

826300132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4013 (or 4004 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 826300132 is about 28745.4367161120. The cubic root of 826300132 is about 938.3811475463.

The spelling of 826300132 in words is "eight hundred twenty-six million, three hundred thousand, one hundred thirty-two".