196511616 has 128 divisors (see below), whose sum is σ = 662918400. Its totient is φ = 56139264.

The previous prime is 196511611. The next prime is 196511617. The reversal of 196511616 is 616115691.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196511611) 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 15 ways as a sum of consecutive naturals, for example, 20131 + ... + 28253.

It is an arithmetic number, because the mean of its divisors is an integer number (5179050).

Almost surely, 2^196511616 is an apocalyptic number.

196511616 is a gapful number since it is divisible by the number (16) 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 196511616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331459200).

196511616 is an abundant number, since it is smaller than the sum of its proper divisors (466406784).

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

196511616 is an equidigital number, since it uses as much as digits as its factorization.

196511616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8153 (or 8135 counting only the distinct ones).

The product of its digits is 9720, while the sum is 36.

The square root of 196511616 is about 14018.2600917518. The cubic root of 196511616 is about 581.3835539103.

The spelling of 196511616 in words is "one hundred ninety-six million, five hundred eleven thousand, six hundred sixteen".