826242120 has 320 divisors, whose sum is σ = 3073593600. Its totient is φ = 197406720.

The previous prime is 826242107. The next prime is 826242121. The reversal of 826242120 is 21242628.

It is a happy number.

826242120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (826242121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3456961 + ... + 3457199.

It is an arithmetic number, because the mean of its divisors is an integer number (9604980).

Almost surely, 2^826242120 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 826242120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536796800).

826242120 is an abundant number, since it is smaller than the sum of its proper divisors (2247351480).

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

826242120 is a wasteful number, since it uses less digits than its factorization.

826242120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 826242120 is about 28744.4276338911. The cubic root of 826242120 is about 938.3591867441.

Adding to 826242120 its reverse (21242628), we get a palindrome (847484748).

The spelling of 826242120 in words is "eight hundred twenty-six million, two hundred forty-two thousand, one hundred twenty".