826004952 has 80 divisors (see below), whose sum is σ = 2332028160. Its totient is φ = 273139776.

The previous prime is 826004929. The next prime is 826004969. The reversal of 826004952 is 259400628.

It is a happy number.

826004952 is a `hidden beast` number, since 8 + 2 + 600 + 49 + 5 + 2 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 77278 + ... + 87314.

It is an arithmetic number, because the mean of its divisors is an integer number (29150352).

Almost surely, 2^826004952 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 826004952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166014080).

826004952 is an abundant number, since it is smaller than the sum of its proper divisors (1506023208).

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

826004952 is a wasteful number, since it uses less digits than its factorization.

826004952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10182 (or 10169 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 826004952 is about 28740.3018773290. The cubic root of 826004952 is about 938.2693946346.

The spelling of 826004952 in words is "eight hundred twenty-six million, four thousand, nine hundred fifty-two".