826425810 has 96 divisors (see below), whose sum is σ = 2467700352. Its totient is φ = 187971840.

The previous prime is 826425793. The next prime is 826425827. The reversal of 826425810 is 18524628.

826425810 is a `hidden beast` number, since 8 + 2 + 642 + 5 + 8 + 1 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (826425793) and next prime (826425827).

It is a super-2 number, since 2×826425810² = 1365959238868312200, which contains 22 as substring.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 129822 + ... + 136038.

It is an arithmetic number, because the mean of its divisors is an integer number (25705212).

Almost surely, 2^826425810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 826425810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233850176).

826425810 is an abundant number, since it is smaller than the sum of its proper divisors (1641274542).

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

826425810 is a wasteful number, since it uses less digits than its factorization.

826425810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6448 (or 6445 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 826425810 is about 28747.6226843195. The cubic root of 826425810 is about 938.4287202069.

The spelling of 826425810 in words is "eight hundred twenty-six million, four hundred twenty-five thousand, eight hundred ten".