196333984 has 72 divisors (see below), whose sum is σ = 490559328. Its totient is φ = 76487040.

The previous prime is 196333981. The next prime is 196334009. The reversal of 196333984 is 489333691.

196333984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (196333981) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11557 + ... + 22939.

It is an arithmetic number, because the mean of its divisors is an integer number (6813324).

Almost surely, 2^196333984 is an apocalyptic number.

196333984 is a gapful number since it is divisible by the number (14) 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 196333984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245279664).

196333984 is an abundant number, since it is smaller than the sum of its proper divisors (294225344).

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

196333984 is a wasteful number, since it uses less digits than its factorization.

196333984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11418 (or 11403 counting only the distinct ones).

The product of its digits is 419904, while the sum is 46.

The square root of 196333984 is about 14011.9229229967. The cubic root of 196333984 is about 581.2083251579.

The spelling of 196333984 in words is "one hundred ninety-six million, three hundred thirty-three thousand, nine hundred eighty-four".