990575040 has 896 divisors, whose sum is σ = 4424232960. Its totient is φ = 181665792.

The previous prime is 990575039. The next prime is 990575041. The reversal of 990575040 is 40575099.

990575040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (990575039) and next prime (990575041).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 990575040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990575041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34157746 + ... + 34157774.

It is an arithmetic number, because the mean of its divisors is an integer number (4937760).

Almost surely, 2^990575040 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 990575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212116480).

990575040 is an abundant number, since it is smaller than the sum of its proper divisors (3433657920).

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

990575040 is a wasteful number, since it uses less digits than its factorization.

990575040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 990575040 is about 31473.4021039989. The cubic root of 990575040 is about 996.8484246739.

The spelling of 990575040 in words is "nine hundred ninety million, five hundred seventy-five thousand, forty".