196580384 has 288 divisors, whose sum is σ = 580680576. Its totient is φ = 63037440.

The previous prime is 196580383. The next prime is 196580387. The reversal of 196580384 is 483085691.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (196580383) 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 47 ways as a sum of consecutive naturals, for example, 10346327 + ... + 10346345.

It is an arithmetic number, because the mean of its divisors is an integer number (2016252).

Almost surely, 2^196580384 is an apocalyptic number.

196580384 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 196580384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290340288).

196580384 is an abundant number, since it is smaller than the sum of its proper divisors (384100192).

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

196580384 is a wasteful number, since it uses less digits than its factorization.

196580384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The square root of 196580384 is about 14020.7126780346. The cubic root of 196580384 is about 581.4513631698.

The spelling of 196580384 in words is "one hundred ninety-six million, five hundred eighty thousand, three hundred eighty-four".