996000 has 96 divisors (see below), whose sum is σ = 3302208. Its totient is φ = 262400.

The previous prime is 995989. The next prime is 996001. The reversal of 996000 is 699.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 10.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (996001) by changing a digit.

996000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11959 + ... + 12041.

It is an arithmetic number, because the mean of its divisors is an integer number (34398).

2⁹⁹⁶⁰⁰⁰ 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 996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651104).

996000 is an abundant number, since it is smaller than the sum of its proper divisors (2306208).

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

996000 is a wasteful number, since it uses less digits than its factorization.

996000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 996000 is about 997.9979959900. The cubic root of 996000 is about 99.8664884928.

Adding to 996000 its reverse (699), we get a palindrome (996699).

The spelling of 996000 in words is "nine hundred ninety-six thousand".