996588000 has 576 divisors, whose sum is σ = 3924910080. Its totient is φ = 238464000.

The previous prime is 996587989. The next prime is 996588011. The reversal of 996588000 is 885699.

It is an interprime number because it is at equal distance from previous prime (996587989) and next prime (996588011).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21203977 + ... + 21204023.

It is an arithmetic number, because the mean of its divisors is an integer number (6814080).

Almost surely, 2^996588000 is an apocalyptic number.

996588000 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 996588000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962455040).

996588000 is an abundant number, since it is smaller than the sum of its proper divisors (2928322080).

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

996588000 is a wasteful number, since it uses less digits than its factorization.

996588000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 996588000 is about 31568.7820480930. The cubic root of 996588000 is about 998.8613706820.

The spelling of 996588000 in words is "nine hundred ninety-six million, five hundred eighty-eight thousand".