196291200 has 384 divisors, whose sum is σ = 777093120. Its totient is φ = 42577920.

The previous prime is 196291181. The next prime is 196291201. The reversal of 196291200 is 2192691.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (196291201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1545537 + ... + 1545663.

It is an arithmetic number, because the mean of its divisors is an integer number (2023680).

Almost surely, 2^196291200 is an apocalyptic number.

196291200 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 196291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388546560).

196291200 is an abundant number, since it is smaller than the sum of its proper divisors (580801920).

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

196291200 is a wasteful number, since it uses less digits than its factorization.

196291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 196291200 is about 14010.3961400097. The cubic root of 196291200 is about 581.1661042054.

The spelling of 196291200 in words is "one hundred ninety-six million, two hundred ninety-one thousand, two hundred".