526806 has 48 divisors (see below), whose sum is σ = 1351584. Its totient is φ = 145152.

The previous prime is 526781. The next prime is 526829. The reversal of 526806 is 608625.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 526806.

It is a congruent number.

It is an unprimeable number.

526806 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 23 ways as a sum of consecutive naturals, for example, 4606 + ... + 4718.

It is an arithmetic number, because the mean of its divisors is an integer number (28158).

2⁵²⁶⁸⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 526806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675792).

526806 is an abundant number, since it is smaller than the sum of its proper divisors (824778).

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

526806 is a wasteful number, since it uses less digits than its factorization.

526806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 526806 is about 725.8140257669. The cubic root of 526806 is about 80.7638296755.

The spelling of 526806 in words is "five hundred twenty-six thousand, eight hundred six".