196876512 has 144 divisors (see below), whose sum is σ = 653234400. Its totient is φ = 56222208.

The previous prime is 196876501. The next prime is 196876529. The reversal of 196876512 is 215678691.

196876512 is a `hidden beast` number, since 1 + 9 + 68 + 76 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×196876512² = 77520721954572288, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 97788 + ... + 99780.

It is an arithmetic number, because the mean of its divisors is an integer number (4536350).

Almost surely, 2^196876512 is an apocalyptic number.

196876512 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 196876512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326617200).

196876512 is an abundant number, since it is smaller than the sum of its proper divisors (456357888).

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

196876512 is a wasteful number, since it uses less digits than its factorization.

196876512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2005 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 196876512 is about 14031.2690801652. The cubic root of 196876512 is about 581.7431821176.

The spelling of 196876512 in words is "one hundred ninety-six million, eight hundred seventy-six thousand, five hundred twelve".