196224064 has 63 divisors (see below), whose sum is σ = 417689157. Its totient is φ = 91444224.

The previous prime is 196224059. The next prime is 196224097. The reversal of 196224064 is 460422691.

The square root of 196224064 is 14008.

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

196224064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 152769600 + 43454464 = 12360^2 + 6592^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1905037 + ... + 1905139.

Almost surely, 2^196224064 is an apocalyptic number.

196224064 is the 14008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196224064

196224064 is an abundant number, since it is smaller than the sum of its proper divisors (221465093).

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

196224064 is an equidigital number, since it uses as much as digits as its factorization.

196224064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The cubic root of 196224064 is about 581.0998393623.

Multiplying 196224064 by its product of nonzero digits (20736), we get a square (4068902191104 = 2017152²).

The spelling of 196224064 in words is "one hundred ninety-six million, two hundred twenty-four thousand, sixty-four".