8973006 has 64 divisors (see below), whose sum is σ = 21772800. Its totient is φ = 2411136.

The previous prime is 8973001. The next prime is 8973007. The reversal of 8973006 is 6003798.

It is a happy number.

8973006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8973001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64485 + ... + 64623.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 2^8973006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8973006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10886400).

8973006 is an abundant number, since it is smaller than the sum of its proper divisors (12799794).

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

8973006 is a wasteful number, since it uses less digits than its factorization.

8973006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 8973006 is about 2995.4976214312. The cubic root of 8973006 is about 207.8002118839.

The spelling of 8973006 in words is "eight million, nine hundred seventy-three thousand, six".