196165200 has 360 divisors, whose sum is σ = 793463104. Its totient is φ = 40550400.

The previous prime is 196165187. The next prime is 196165201. The reversal of 196165200 is 2561691.

196165200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196165201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1016304 + ... + 1016496.

Almost surely, 2^196165200 is an apocalyptic number.

196165200 is a gapful number since it is divisible by the number (10) 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 196165200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396731552).

196165200 is an abundant number, since it is smaller than the sum of its proper divisors (597297904).

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

196165200 is a wasteful number, since it uses less digits than its factorization.

196165200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 196165200 is about 14005.8987573094. The cubic root of 196165200 is about 581.0417267448.

It can be divided in two parts, 1961 and 65200, that added together give a triangular number (67161 = T₃₆₆).

The spelling of 196165200 in words is "one hundred ninety-six million, one hundred sixty-five thousand, two hundred".