826437672 has 96 divisors (see below), whose sum is σ = 2293735080. Its totient is φ = 268738560.

The previous prime is 826437659. The next prime is 826437691. The reversal of 826437672 is 276734628.

It can be written as a sum of positive squares in 4 ways, for example, as 778744836 + 47692836 = 27906^2 + 6906^2 .

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, 509022 + ... + 510642.

Almost surely, 2^826437672 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 826437672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146867540).

826437672 is an abundant number, since it is smaller than the sum of its proper divisors (1467297408).

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

826437672 is a wasteful number, since it uses less digits than its factorization.

826437672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1796 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 826437672 is about 28747.8289962912. The cubic root of 826437672 is about 938.4332100587.

The spelling of 826437672 in words is "eight hundred twenty-six million, four hundred thirty-seven thousand, six hundred seventy-two".