9994000900 has 81 divisors (see below), whose sum is σ = 23514114141. Its totient is φ = 3685294080.

The previous prime is 9994000897. The next prime is 9994000903. The reversal of 9994000900 is 90004999.

The square root of 9994000900 is 99970.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (9994000897) and next prime (9994000903).

It can be written as a sum of positive squares in 13 ways, for example, as 9790310916 + 203689984 = 98946^2 + 14272^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9994000903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12995716 + ... + 12996484.

Almost surely, 2^9994000900 is an apocalyptic number.

9994000900 is the 99970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9994000900

9994000900 is an abundant number, since it is smaller than the sum of its proper divisors (13520113241).

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

9994000900 is a wasteful number, since it uses less digits than its factorization.

9994000900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 40.

The cubic root of 9994000900 is about 2154.0037815467.

Multiplying 9994000900 by its product of nonzero digits (26244), we get a square (262282559619600 = 16195140²).

The spelling of 9994000900 in words is "nine billion, nine hundred ninety-four million, nine hundred", and thus it is an aban number.