196413984 has 288 divisors, whose sum is σ = 654937920. Its totient is φ = 57480192.

The previous prime is 196413949. The next prime is 196414007. The reversal of 196413984 is 489314691.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×196413984² = 77156906221504512, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2931519 + ... + 2931585.

It is an arithmetic number, because the mean of its divisors is an integer number (2274090).

Almost surely, 2^196413984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196413984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327468960).

196413984 is an abundant number, since it is smaller than the sum of its proper divisors (458523936).

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

196413984 is a wasteful number, since it uses less digits than its factorization.

196413984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 114 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 196413984 is about 14014.7773439324. Note that the first 3 decimals coincide. The cubic root of 196413984 is about 581.2872558846.

The spelling of 196413984 in words is "one hundred ninety-six million, four hundred thirteen thousand, nine hundred eighty-four".