1996128 has 72 divisors (see below), whose sum is σ = 5896800. Its totient is φ = 639744.

The previous prime is 1996109. The next prime is 1996129. The reversal of 1996128 is 8216991.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1996092 and 1996101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1996129) 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 11 ways as a sum of consecutive naturals, for example, 8233 + ... + 8471.

It is an arithmetic number, because the mean of its divisors is an integer number (81900).

2^1996128 is an apocalyptic number.

1996128 is a gapful number since it is divisible by the number (18) 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 1996128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948400).

1996128 is an abundant number, since it is smaller than the sum of its proper divisors (3900672).

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

1996128 is a wasteful number, since it uses less digits than its factorization.

1996128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 273 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 1996128 is about 1412.8439404265. The cubic root of 1996128 is about 125.9107455578.

The spelling of 1996128 in words is "one million, nine hundred ninety-six thousand, one hundred twenty-eight".