196128 has 48 divisors (see below), whose sum is σ = 574560. Its totient is φ = 65088.

The previous prime is 196117. The next prime is 196139. The reversal of 196128 is 821691.

196128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (196117) and next prime (196139).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 751 + ... + 977.

It is an arithmetic number, because the mean of its divisors is an integer number (11970).

2¹⁹⁶¹²⁸ is an apocalyptic number.

196128 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 196128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287280).

196128 is an abundant number, since it is smaller than the sum of its proper divisors (378432).

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

196128 is a wasteful number, since it uses less digits than its factorization.

196128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 232 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 196128 is about 442.8634100939. The cubic root of 196128 is about 58.1004995597.

It can be divided in two parts, 196 and 128, that added together give a square (324 = 18²).

The spelling of 196128 in words is "one hundred ninety-six thousand, one hundred twenty-eight".