196635672 has 96 divisors (see below), whose sum is σ = 555282000. Its totient is φ = 62807040.

The previous prime is 196635667. The next prime is 196635679. The reversal of 196635672 is 276536691.

196635672 is a `hidden beast` number, since 1 + 9 + 6 + 635 + 6 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196635679) 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 23 ways as a sum of consecutive naturals, for example, 173604 + ... + 174732.

Almost surely, 2^196635672 is an apocalyptic number.

196635672 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 196635672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277641000).

196635672 is an abundant number, since it is smaller than the sum of its proper divisors (358646328).

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

196635672 is a wasteful number, since it uses less digits than its factorization.

196635672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1234 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 196635672 is about 14022.6841938339. The cubic root of 196635672 is about 581.5058688958.

The spelling of 196635672 in words is "one hundred ninety-six million, six hundred thirty-five thousand, six hundred seventy-two".