9906500 has 24 divisors (see below), whose sum is σ = 21636888. Its totient is φ = 3962400.

The previous prime is 9906493. The next prime is 9906509. The reversal of 9906500 is 56099.

It can be written as a sum of positive squares in 4 ways, for example, as 2979076 + 6927424 = 1726^2 + 2632^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9906509) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9407 + ... + 10406.

It is an arithmetic number, because the mean of its divisors is an integer number (901537).

Almost surely, 2^9906500 is an apocalyptic number.

It is an amenable number.

9906500 is an abundant number, since it is smaller than the sum of its proper divisors (11730388).

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

9906500 is a wasteful number, since it uses less digits than its factorization.

9906500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19832 (or 19820 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 29.

The square root of 9906500 is about 3147.4592928265. The cubic root of 9906500 is about 214.7698998519.

The spelling of 9906500 in words is "nine million, nine hundred six thousand, five hundred".