196752384 has 132 divisors (see below), whose sum is σ = 584484004. Its totient is φ = 63700992.

The previous prime is 196752379. The next prime is 196752403. The reversal of 196752384 is 483257691.

It can be written as a sum of positive squares in 2 ways, for example, as 188457984 + 8294400 = 13728^2 + 2880^2 .

Its product of digits (362880) is a multiple of the sum of its prime factors (640).

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 11 ways as a sum of consecutive naturals, for example, 340704 + ... + 341280.

Almost surely, 2^196752384 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 196752384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292242002).

196752384 is an abundant number, since it is smaller than the sum of its proper divisors (387731620).

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

196752384 is a wasteful number, since it uses less digits than its factorization.

196752384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 619 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 196752384 is about 14026.8451192704. The cubic root of 196752384 is about 581.6208959897.

It can be divided in two parts, 196752 and 384, that added together give a square (197136 = 444²).

The spelling of 196752384 in words is "one hundred ninety-six million, seven hundred fifty-two thousand, three hundred eighty-four".