196720128 has 120 divisors (see below), whose sum is σ = 619520616. Its totient is φ = 59596800.

The previous prime is 196720123. The next prime is 196720133. The reversal of 196720128 is 821027691.

It is an interprime number because it is at equal distance from previous prime (196720123) and next prime (196720133).

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

It is a junction number, because it is equal to n+sod(n) for n = 196720092 and 196720101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196720123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48748 + ... + 52628.

Almost surely, 2^196720128 is an apocalyptic number.

196720128 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 196720128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309760308).

196720128 is an abundant number, since it is smaller than the sum of its proper divisors (422800488).

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

196720128 is a wasteful number, since it uses less digits than its factorization.

196720128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3916 (or 3897 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 196720128 is about 14025.6952768838. The cubic root of 196720128 is about 581.5891102013.

The spelling of 196720128 in words is "one hundred ninety-six million, seven hundred twenty thousand, one hundred twenty-eight".