826125732 has 72 divisors (see below), whose sum is σ = 2114494200. Its totient is φ = 271941120.

The previous prime is 826125731. The next prime is 826125739. The reversal of 826125732 is 237521628.

826125732 is a `hidden beast` number, since 8 + 2 + 612 + 5 + 7 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24443136 + 801682596 = 4944^2 + 28314^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (826125731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1249482 + ... + 1250142.

It is an arithmetic number, because the mean of its divisors is an integer number (29367975).

Almost surely, 2^826125732 is an apocalyptic number.

It is an amenable number.

826125732 is an abundant number, since it is smaller than the sum of its proper divisors (1288368468).

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

826125732 is a wasteful number, since it uses less digits than its factorization.

826125732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1048 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 826125732 is about 28742.4030310620. The cubic root of 826125732 is about 938.3151242452.

The spelling of 826125732 in words is "eight hundred twenty-six million, one hundred twenty-five thousand, seven hundred thirty-two".