8256006 has 80 divisors (see below), whose sum is σ = 20856528. Its totient is φ = 2419200.

The previous prime is 8255983. The next prime is 8256007. The reversal of 8256006 is 6006528.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8256007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73006 + ... + 73118.

Almost surely, 2^8256006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8256006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10428264).

8256006 is an abundant number, since it is smaller than the sum of its proper divisors (12600522).

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

8256006 is a wasteful number, since it uses less digits than its factorization.

8256006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 170 counting only the distinct ones).

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

The square root of 8256006 is about 2873.3266434570. The cubic root of 8256006 is about 202.1110228493. Note that the first 3 decimals are identical.

The spelling of 8256006 in words is "eight million, two hundred fifty-six thousand, six".