996138000 has 800 divisors, whose sum is σ = 4325473152. Its totient is φ = 217728000.

The previous prime is 996137983. The next prime is 996138019. The reversal of 996138000 is 831699.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 159 ways as a sum of consecutive naturals, for example, 23165979 + ... + 23166021.

Almost surely, 2^996138000 is an apocalyptic number.

996138000 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 996138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162736576).

996138000 is an abundant number, since it is smaller than the sum of its proper divisors (3329335152).

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

996138000 is a wasteful number, since it uses less digits than its factorization.

996138000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 996138000 is about 31561.6539490566. The cubic root of 996138000 is about 998.7110058747.

Adding to 996138000 its reverse (831699), we get a palindrome (996969699).

It can be divided in two parts, 9961 and 38000, that added together give a square (47961 = 219²).

The spelling of 996138000 in words is "nine hundred ninety-six million, one hundred thirty-eight thousand".