826411040 has 192 divisors, whose sum is σ = 2423312640. Its totient is φ = 259338240.

The previous prime is 826411009. The next prime is 826411043. The reversal of 826411040 is 40114628.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (826411043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3072026 + ... + 3072294.

It is an arithmetic number, because the mean of its divisors is an integer number (12621420).

Almost surely, 2^826411040 is an apocalyptic number.

826411040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 826411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211656320).

826411040 is an abundant number, since it is smaller than the sum of its proper divisors (1596901600).

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

826411040 is a wasteful number, since it uses less digits than its factorization.

826411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 826411040 is about 28747.3657923644. The cubic root of 826411040 is about 938.4231295963.

Adding to 826411040 its reverse (40114628), we get a palindrome (866525668).

The spelling of 826411040 in words is "eight hundred twenty-six million, four hundred eleven thousand, forty".