990853600 has 144 divisors (see below), whose sum is σ = 2665610640. Its totient is φ = 356659200.

The previous prime is 990853579. The next prime is 990853607. The reversal of 990853600 is 6358099.

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 (990853607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 958684 + ... + 959716.

It is an arithmetic number, because the mean of its divisors is an integer number (18511185).

Almost surely, 2^990853600 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 990853600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332805320).

990853600 is an abundant number, since it is smaller than the sum of its proper divisors (1674757040).

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

990853600 is a wasteful number, since it uses less digits than its factorization.

990853600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 990853600 is about 31477.8271168770. The cubic root of 990853600 is about 996.9418572967.

The spelling of 990853600 in words is "nine hundred ninety million, eight hundred fifty-three thousand, six hundred".