196817920 has 88 divisors (see below), whose sum is σ = 508622184. Its totient is φ = 72646656.

The previous prime is 196817909. The next prime is 196817939. The reversal of 196817920 is 29718691.

It can be written as a sum of positive squares in 4 ways, for example, as 369664 + 196448256 = 608^2 + 14016^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65082 + ... + 68038.

Almost surely, 2^196817920 is an apocalyptic number.

196817920 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 196817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254311092).

196817920 is an abundant number, since it is smaller than the sum of its proper divisors (311804264).

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

196817920 is a wasteful number, since it uses less digits than its factorization.

196817920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2995 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 43.

The square root of 196817920 is about 14029.1810167237. The cubic root of 196817920 is about 581.6854659412.

The spelling of 196817920 in words is "one hundred ninety-six million, eight hundred seventeen thousand, nine hundred twenty".