196561536 has 128 divisors (see below), whose sum is σ = 569160000. Its totient is φ = 59867136.

The previous prime is 196561523. The next prime is 196561549. The reversal of 196561536 is 635165691.

196561536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (196561523) and next prime (196561549).

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, 211120 + ... + 212048.

Almost surely, 2^196561536 is an apocalyptic number.

196561536 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 196561536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284580000).

196561536 is an abundant number, since it is smaller than the sum of its proper divisors (372598464).

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

196561536 is a wasteful number, since it uses less digits than its factorization.

196561536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 982 counting only the distinct ones).

The product of its digits is 145800, while the sum is 42.

The square root of 196561536 is about 14020.0405134935. The cubic root of 196561536 is about 581.4327795157.

The spelling of 196561536 in words is "one hundred ninety-six million, five hundred sixty-one thousand, five hundred thirty-six".