826830368 has 96 divisors (see below), whose sum is σ = 2072770560. Its totient is φ = 315786240.

The previous prime is 826830331. The next prime is 826830373. The reversal of 826830368 is 863038628.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79553 + ... + 89343.

It is an arithmetic number, because the mean of its divisors is an integer number (21591360).

Almost surely, 2^826830368 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 826830368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036385280).

826830368 is an abundant number, since it is smaller than the sum of its proper divisors (1245940192).

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

826830368 is a wasteful number, since it uses less digits than its factorization.

826830368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9850 (or 9842 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The square root of 826830368 is about 28754.6581965427. The cubic root of 826830368 is about 938.5818240544.

The spelling of 826830368 in words is "eight hundred twenty-six million, eight hundred thirty thousand, three hundred sixty-eight".