826500906 has 144 divisors (see below), whose sum is σ = 2348341632. Its totient is φ = 205254720.

The previous prime is 826500901. The next prime is 826500911. The reversal of 826500906 is 609005628.

It is an interprime number because it is at equal distance from previous prime (826500901) and next prime (826500911).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (826500901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 349480 + ... + 351836.

It is an arithmetic number, because the mean of its divisors is an integer number (16307928).

Almost surely, 2^826500906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 826500906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174170816).

826500906 is an abundant number, since it is smaller than the sum of its proper divisors (1521840726).

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

826500906 is a wasteful number, since it uses less digits than its factorization.

826500906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 826500906 is about 28748.9287800433. The cubic root of 826500906 is about 938.4571438548.

The spelling of 826500906 in words is "eight hundred twenty-six million, five hundred thousand, nine hundred six".