1965705216 has 96 divisors (see below), whose sum is σ = 5382861120. Its totient is φ = 637452288.

The previous prime is 1965705191. The next prime is 1965705229. The reversal of 1965705216 is 6125075691.

It is a tau number, because it is divible by the number of its divisors (96).

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, 223005 + ... + 231651.

It is an arithmetic number, because the mean of its divisors is an integer number (56071470).

Almost surely, 2^1965705216 is an apocalyptic number.

1965705216 is a gapful number since it is divisible by the number (16) 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 1965705216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691430560).

1965705216 is an abundant number, since it is smaller than the sum of its proper divisors (3417155904).

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

1965705216 is an equidigital number, since it uses as much as digits as its factorization.

1965705216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8709 (or 8689 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The square root of 1965705216 is about 44336.2742683686. The cubic root of 1965705216 is about 1252.6780378067.

The spelling of 1965705216 in words is "one billion, nine hundred sixty-five million, seven hundred five thousand, two hundred sixteen".