1965394208 has 54 divisors (see below), whose sum is σ = 4119304203. Its totient is φ = 922885120.

The previous prime is 1965394127. The next prime is 1965394261. The reversal of 1965394208 is 8024935691.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 1200761104 + 764633104 = 34652^2 + 27652^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=31348.

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, 4263098 + ... + 4263558.

Almost surely, 2^1965394208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1965394208

1965394208 is an abundant number, since it is smaller than the sum of its proper divisors (2153909995).

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

1965394208 is an frugal number, since it uses more digits than its factorization.

1965394208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 47.

The square root of 1965394208 is about 44332.7667532718. The cubic root of 1965394208 is about 1252.6119693314.

The spelling of 1965394208 in words is "one billion, nine hundred sixty-five million, three hundred ninety-four thousand, two hundred eight".