826993536 has 64 divisors (see below), whose sum is σ = 2206137600. Its totient is φ = 274480640.

The previous prime is 826993523. The next prime is 826993547. The reversal of 826993536 is 635399628.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87271 + ... + 96281.

It is an arithmetic number, because the mean of its divisors is an integer number (34470900).

Almost surely, 2^826993536 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 826993536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103068800).

826993536 is an abundant number, since it is smaller than the sum of its proper divisors (1379144064).

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

826993536 is a wasteful number, since it uses less digits than its factorization.

826993536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9267 (or 9255 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 51.

The square root of 826993536 is about 28757.4953012254. The cubic root of 826993536 is about 938.6435603960.

The spelling of 826993536 in words is "eight hundred twenty-six million, nine hundred ninety-three thousand, five hundred thirty-six".