990994000 has 80 divisors (see below), whose sum is σ = 2441696400. Its totient is φ = 388876800.

The previous prime is 990993979. The next prime is 990994007. The reversal of 990994000 is 499099.

It can be written as a sum of positive squares in 8 ways, for example, as 78712384 + 912281616 = 8872^2 + 30204^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990994007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101326 + ... + 110674.

It is an arithmetic number, because the mean of its divisors is an integer number (30521205).

Almost surely, 2^990994000 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 990994000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220848200).

990994000 is an abundant number, since it is smaller than the sum of its proper divisors (1450702400).

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

990994000 is a wasteful number, since it uses less digits than its factorization.

990994000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9425 (or 9409 counting only the distinct ones).

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

The square root of 990994000 is about 31480.0571791094. The cubic root of 990994000 is about 996.9889426334.

The spelling of 990994000 in words is "nine hundred ninety million, nine hundred ninety-four thousand".