9900252 has 72 divisors (see below), whose sum is σ = 26826800. Its totient is φ = 3157056.

The previous prime is 9900251. The next prime is 9900283. The reversal of 9900252 is 2520099.

It is a super-5 number, since 5×9900252⁵ (a number of 36 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9900251) 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 23 ways as a sum of consecutive naturals, for example, 90774 + ... + 90882.

Almost surely, 2^9900252 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 9900252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13413400).

9900252 is an abundant number, since it is smaller than the sum of its proper divisors (16926548).

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

9900252 is a wasteful number, since it uses less digits than its factorization.

9900252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 9900252 is about 3146.4665896844. The cubic root of 9900252 is about 214.7247387779.

The spelling of 9900252 in words is "nine million, nine hundred thousand, two hundred fifty-two".