826125696 has 256 divisors, whose sum is σ = 2749593600. Its totient is φ = 241920000.

The previous prime is 826125649. The next prime is 826125709. The reversal of 826125696 is 696521628.

826125696 is a `hidden beast` number, since 82 + 6 + 1 + 2 + 569 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1178146 + ... + 1178846.

It is an arithmetic number, because the mean of its divisors is an integer number (10740600).

Almost surely, 2^826125696 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 826125696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374796800).

826125696 is an abundant number, since it is smaller than the sum of its proper divisors (1923467904).

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

826125696 is a wasteful number, since it uses less digits than its factorization.

826125696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 748 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 826125696 is about 28742.4024048095. The cubic root of 826125696 is about 938.3151106156.

The spelling of 826125696 in words is "eight hundred twenty-six million, one hundred twenty-five thousand, six hundred ninety-six".