990675504 has 480 divisors, whose sum is σ = 3769758720. Its totient is φ = 235395072.

The previous prime is 990675503. The next prime is 990675509. The reversal of 990675504 is 405576099.

It is a happy number.

990675504 is a `hidden beast` number, since 9 + 90 + 6 + 7 + 550 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 990675504.

It is not an unprimeable number, because it can be changed into a prime (990675503) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5726362 + ... + 5726534.

It is an arithmetic number, because the mean of its divisors is an integer number (7853664).

Almost surely, 2^990675504 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 990675504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884879360).

990675504 is an abundant number, since it is smaller than the sum of its proper divisors (2779083216).

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

990675504 is a wasteful number, since it uses less digits than its factorization.

990675504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 990675504 is about 31474.9980778395. The cubic root of 990675504 is about 996.8821236166.

The spelling of 990675504 in words is "nine hundred ninety million, six hundred seventy-five thousand, five hundred four".