990566400 has 144 divisors (see below), whose sum is σ = 3275181000. Its totient is φ = 264110080.

The previous prime is 990566383. The next prime is 990566429. The reversal of 990566400 is 4665099.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 150376 + ... + 156824.

Almost surely, 2^990566400 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 990566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637590500).

990566400 is an abundant number, since it is smaller than the sum of its proper divisors (2284614600).

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

990566400 is a wasteful number, since it uses less digits than its factorization.

990566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6484 (or 6459 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 990566400 is about 31473.2648449442. The cubic root of 990566400 is about 996.8455264262.

The spelling of 990566400 in words is "nine hundred ninety million, five hundred sixty-six thousand, four hundred".