990748800 has 192 divisors, whose sum is σ = 3626181600. Its totient is φ = 264176640.

The previous prime is 990748783. The next prime is 990748807. The reversal of 990748800 is 8847099.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (990748807) 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 23 ways as a sum of consecutive naturals, for example, 80667 + ... + 92133.

Almost surely, 2^990748800 is an apocalyptic number.

990748800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813090800).

990748800 is an abundant number, since it is smaller than the sum of its proper divisors (2635432800).

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

990748800 is a wasteful number, since it uses less digits than its factorization.

990748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11500 (or 11477 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 990748800 is about 31476.1624090358. The cubic root of 990748800 is about 996.9067080778.

The spelling of 990748800 in words is "nine hundred ninety million, seven hundred forty-eight thousand, eight hundred".