196228800 has 126 divisors (see below), whose sum is σ = 697494668. Its totient is φ = 52323840.

The previous prime is 196228757. The next prime is 196228831. The reversal of 196228800 is 8822691.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 17 ways as a sum of consecutive naturals, for example, 7587 + ... + 21213.

Almost surely, 2^196228800 is an apocalyptic number.

196228800 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 196228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348747334).

196228800 is an abundant number, since it is smaller than the sum of its proper divisors (501265868).

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

196228800 is a wasteful number, since it uses less digits than its factorization.

196228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13655 (or 13637 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 196228800 is about 14008.1690452393. The cubic root of 196228800 is about 581.1045144034.

The spelling of 196228800 in words is "one hundred ninety-six million, two hundred twenty-eight thousand, eight hundred".