826113024 has 264 divisors, whose sum is σ = 2701548720. Its totient is φ = 240844800.

The previous prime is 826113019. The next prime is 826113049. The reversal of 826113024 is 420311628.

It is a tau number, because it is divible by the number of its divisors (264).

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 23 ways as a sum of consecutive naturals, for example, 2939764 + ... + 2940044.

Almost surely, 2^826113024 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 826113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350774360).

826113024 is an abundant number, since it is smaller than the sum of its proper divisors (1875435696).

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

826113024 is a wasteful number, since it uses less digits than its factorization.

826113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 826113024 is about 28742.1819631009. The cubic root of 826113024 is about 938.3103129640.

The spelling of 826113024 in words is "eight hundred twenty-six million, one hundred thirteen thousand, twenty-four".