826870272 has 160 divisors (see below), whose sum is σ = 2401185600. Its totient is φ = 251854848.

The previous prime is 826870237. The next prime is 826870279. The reversal of 826870272 is 272078628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826870279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 845848 + ... + 846824.

It is an arithmetic number, because the mean of its divisors is an integer number (15007410).

Almost surely, 2^826870272 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 826870272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200592800).

826870272 is an abundant number, since it is smaller than the sum of its proper divisors (1574315328).

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

826870272 is a wasteful number, since it uses less digits than its factorization.

826870272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 826870272 is about 28755.3520583560. The cubic root of 826870272 is about 938.5969229058.

The spelling of 826870272 in words is "eight hundred twenty-six million, eight hundred seventy thousand, two hundred seventy-two".