826890 has 32 divisors (see below), whose sum is σ = 2033856. Its totient is φ = 215040.

The previous prime is 826883. The next prime is 826907. The reversal of 826890 is 98628.

It is an unprimeable number.

826890 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 970 + ... + 1610.

It is an arithmetic number, because the mean of its divisors is an integer number (63558).

2⁸²⁶⁸⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 826890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016928).

826890 is an abundant number, since it is smaller than the sum of its proper divisors (1206966).

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

826890 is a wasteful number, since it uses less digits than its factorization.

826890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694.

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 826890 is about 909.3349217972. The cubic root of 826890 is about 93.8604387395.

The spelling of 826890 in words is "eight hundred twenty-six thousand, eight hundred ninety".