826137864 has 48 divisors (see below), whose sum is σ = 2292037020. Its totient is φ = 268661760.

The previous prime is 826137863. The next prime is 826137869. The reversal of 826137864 is 468731628.

826137864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 817388100 + 8749764 = 28590^2 + 2958^2 .

It is not an unprimeable number, because it can be changed into a prime (826137863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136977 + ... + 142880.

Almost surely, 2^826137864 is an apocalyptic number.

It is an amenable number.

826137864 is an abundant number, since it is smaller than the sum of its proper divisors (1465899156).

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

826137864 is a wasteful number, since it uses less digits than its factorization.

826137864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279910 (or 279903 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 826137864 is about 28742.6140773591. The cubic root of 826137864 is about 938.3197174054.

The spelling of 826137864 in words is "eight hundred twenty-six million, one hundred thirty-seven thousand, eight hundred sixty-four".