196148800 has 84 divisors (see below), whose sum is σ = 494046256. Its totient is φ = 76608000.

The previous prime is 196148773. The next prime is 196148801. The reversal of 196148800 is 8841691.

It is a happy number.

196148800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 196148800.

It is not an unprimeable number, because it can be changed into a prime (196148801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67375 + ... + 70225.

Almost surely, 2^196148800 is an apocalyptic number.

196148800 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 196148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247023128).

196148800 is an abundant number, since it is smaller than the sum of its proper divisors (297897456).

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

196148800 is a wasteful number, since it uses less digits than its factorization.

196148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2901 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 196148800 is about 14005.3132774672. The cubic root of 196148800 is about 581.0255340157.

It can be divided in two parts, 196 and 148800, that added together give a square (148996 = 386²).

The spelling of 196148800 in words is "one hundred ninety-six million, one hundred forty-eight thousand, eight hundred".