9930900 has 72 divisors (see below), whose sum is σ = 32845120. Its totient is φ = 2269440.

The previous prime is 9930889. The next prime is 9930919. The reversal of 9930900 is 90399.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265 + ... + 4464.

Almost surely, 2^9930900 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 9930900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16422560).

9930900 is an abundant number, since it is smaller than the sum of its proper divisors (22914220).

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

9930900 is a wasteful number, since it uses less digits than its factorization.

9930900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4753 (or 4746 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 30.

The square root of 9930900 is about 3151.3330512658. Note that the first 3 decimals coincide. The cubic root of 9930900 is about 214.9460834696.

The spelling of 9930900 in words is "nine million, nine hundred thirty thousand, nine hundred".