815826 has 32 divisors (see below), whose sum is σ = 1824768. Its totient is φ = 241040.

The previous prime is 815821. The next prime is 815831. The reversal of 815826 is 628518.

815826 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (815821) and next prime (815831).

It is a junction number, because it is equal to n+sod(n) for n = 815793 and 815802.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 815826.

It is not an unprimeable number, because it can be changed into a prime (815821) by changing a digit.

815826 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, 2971 + ... + 3233.

It is an arithmetic number, because the mean of its divisors is an integer number (57024).

2⁸¹⁵⁸²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 815826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912384).

815826 is an abundant number, since it is smaller than the sum of its proper divisors (1008942).

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

815826 is a wasteful number, since it uses less digits than its factorization.

815826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326.

The product of its digits is 3840, while the sum is 30.

The square root of 815826 is about 903.2308674973. The cubic root of 815826 is about 93.4399320590.

It can be divided in two parts, 81 and 5826, that multiplied together give a triangular number (471906 = T₉₇₁).

The spelling of 815826 in words is "eight hundred fifteen thousand, eight hundred twenty-six".