196560400 has 45 divisors (see below), whose sum is σ = 472910983. Its totient is φ = 78512000.

The previous prime is 196560383. The next prime is 196560401. The reversal of 196560400 is 4065691.

The square root of 196560400 is 14020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 13337104 + 183223296 = 3652^2 + 13536^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (196560401) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 280050 + ... + 280750.

Almost surely, 2^196560400 is an apocalyptic number.

196560400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

196560400 is the 14020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196560400

196560400 is an abundant number, since it is smaller than the sum of its proper divisors (276350583).

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

196560400 is an frugal number, since it uses more digits than its factorization.

196560400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The cubic root of 196560400 is about 581.4316594103.

The spelling of 196560400 in words is "one hundred ninety-six million, five hundred sixty thousand, four hundred".