826926912 has 336 divisors, whose sum is σ = 2915058432. Its totient is φ = 218972160.

The previous prime is 826926901. The next prime is 826926941. The reversal of 826926912 is 219629628.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 3431112 + ... + 3431352.

Almost surely, 2^826926912 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 826926912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457529216).

826926912 is an abundant number, since it is smaller than the sum of its proper divisors (2088131520).

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

826926912 is a wasteful number, since it uses less digits than its factorization.

826926912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 313 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 826926912 is about 28756.3369016292. The cubic root of 826926912 is about 938.6183534807.

The spelling of 826926912 in words is "eight hundred twenty-six million, nine hundred twenty-six thousand, nine hundred twelve".