196639872 has 128 divisors (see below), whose sum is σ = 613811520. Its totient is φ = 54988800.

The previous prime is 196639847. The next prime is 196639897. The reversal of 196639872 is 278936691.

It is an interprime number because it is at equal distance from previous prime (196639847) and next prime (196639897).

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 53122 + ... + 56702.

Almost surely, 2^196639872 is an apocalyptic number.

196639872 is a gapful number since it is divisible by the number (12) 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 196639872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306905760).

196639872 is an abundant number, since it is smaller than the sum of its proper divisors (417171648).

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

196639872 is a wasteful number, since it uses less digits than its factorization.

196639872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3622 (or 3610 counting only the distinct ones).

The product of its digits is 979776, while the sum is 51.

The square root of 196639872 is about 14022.8339503825. The cubic root of 196639872 is about 581.5100090521.

The spelling of 196639872 in words is "one hundred ninety-six million, six hundred thirty-nine thousand, eight hundred seventy-two".