9936900 has 108 divisors (see below), whose sum is σ = 31832164. Its totient is φ = 2592000.

The previous prime is 9936893. The next prime is 9936907. The reversal of 9936900 is 96399.

It is an interprime number because it is at equal distance from previous prime (9936893) and next prime (9936907).

It can be written as a sum of positive squares in 6 ways, for example, as 4955076 + 4981824 = 2226^2 + 2232^2 .

It is a super-2 number, since 2×9936900² = 197483963220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (9936907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54810 + ... + 54990.

Almost surely, 2^9936900 is an apocalyptic number.

9936900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9936900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15916082).

9936900 is an abundant number, since it is smaller than the sum of its proper divisors (21895264).

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

9936900 is a wasteful number, since it uses less digits than its factorization.

9936900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 9936900 is about 3152.2848856028. The cubic root of 9936900 is about 214.9893630937.

The spelling of 9936900 in words is "nine million, nine hundred thirty-six thousand, nine hundred".