826840 has 32 divisors (see below), whose sum is σ = 2126880. Its totient is φ = 283392.

The previous prime is 826831. The next prime is 826849. The reversal of 826840 is 48628.

826840 = T₁₈₃ + T₁₈₄ + ... + T₂₂₂.

It is an interprime number because it is at equal distance from previous prime (826831) and next prime (826849).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 826799 and 826808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826849) by changing a digit.

826840 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 1197 + ... + 1756.

It is an arithmetic number, because the mean of its divisors is an integer number (66465).

2⁸²⁶⁸⁴⁰ is an apocalyptic number.

It is an amenable number.

826840 is an abundant number, since it is smaller than the sum of its proper divisors (1300040).

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

826840 is a wasteful number, since it uses less digits than its factorization.

826840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 826840 is about 909.3074287610. The cubic root of 826840 is about 93.8585468649.

The spelling of 826840 in words is "eight hundred twenty-six thousand, eight hundred forty".