826892920 has 256 divisors, whose sum is σ = 2438553600. Its totient is φ = 245514240.

The previous prime is 826892851. The next prime is 826892923. The reversal of 826892920 is 29298628.

It is a happy number.

It is a super-2 number, since 2×826892920² = 1367503802292252800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826892923) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3707929 + ... + 3708151.

It is an arithmetic number, because the mean of its divisors is an integer number (9525600).

Almost surely, 2^826892920 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 826892920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219276800).

826892920 is an abundant number, since it is smaller than the sum of its proper divisors (1611660680).

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

826892920 is a wasteful number, since it uses less digits than its factorization.

826892920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The square root of 826892920 is about 28755.7458606102. The cubic root of 826892920 is about 938.6054922263.

The spelling of 826892920 in words is "eight hundred twenty-six million, eight hundred ninety-two thousand, nine hundred twenty".