9900240 has 160 divisors (see below), whose sum is σ = 35997696. Its totient is φ = 2204160.

The previous prime is 9900203. The next prime is 9900251. The reversal of 9900240 is 420099.

9900240 = 365² + 366² + ... + 427².

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

It is a self number, because there is not a number n which added to its sum of digits gives 9900240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119239 + ... + 119321.

Almost surely, 2^9900240 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 9900240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17998848).

9900240 is an abundant number, since it is smaller than the sum of its proper divisors (26097456).

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

9900240 is a wasteful number, since it uses less digits than its factorization.

9900240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 9900240 is about 3146.4646827829. The cubic root of 9900240 is about 214.7246520226.

The spelling of 9900240 in words is "nine million, nine hundred thousand, two hundred forty".