9906000 has 160 divisors (see below), whose sum is σ = 34664448. Its totient is φ = 2419200.

The previous prime is 9905993. The next prime is 9906007. The reversal of 9906000 is 6099.

It is an interprime number because it is at equal distance from previous prime (9905993) and next prime (9906007).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9906007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77937 + ... + 78063.

Almost surely, 2^9906000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17332224).

9906000 is an abundant number, since it is smaller than the sum of its proper divisors (24758448).

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

9906000 is a wasteful number, since it uses less digits than its factorization.

9906000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 9906000 is about 3147.3798626794. The cubic root of 9906000 is about 214.7662865086.

The spelling of 9906000 in words is "nine million, nine hundred six thousand".