196425600 has 384 divisors, whose sum is σ = 768998400. Its totient is φ = 43130880.

The previous prime is 196425583. The next prime is 196425601. The reversal of 196425600 is 6524691.

196425600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196425601) 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, 2486361 + ... + 2486439.

It is an arithmetic number, because the mean of its divisors is an integer number (2002600).

Almost surely, 2^196425600 is an apocalyptic number.

196425600 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 196425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384499200).

196425600 is an abundant number, since it is smaller than the sum of its proper divisors (572572800).

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

196425600 is a wasteful number, since it uses less digits than its factorization.

196425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 196425600 is about 14015.1917575180. The cubic root of 196425600 is about 581.2987148441.

The spelling of 196425600 in words is "one hundred ninety-six million, four hundred twenty-five thousand, six hundred".