826820352 has 288 divisors, whose sum is σ = 2600458560. Its totient is φ = 258785280.

The previous prime is 826820339. The next prime is 826820447. The reversal of 826820352 is 253028628.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13554402 + ... + 13554462.

It is an arithmetic number, because the mean of its divisors is an integer number (9029370).

Almost surely, 2^826820352 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 826820352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300229280).

826820352 is an abundant number, since it is smaller than the sum of its proper divisors (1773638208).

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

826820352 is a wasteful number, since it uses less digits than its factorization.

826820352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 826820352 is about 28754.4840329295. The cubic root of 826820352 is about 938.5780341301.

The spelling of 826820352 in words is "eight hundred twenty-six million, eight hundred twenty thousand, three hundred fifty-two".