1960735616 has 128 divisors (see below), whose sum is σ = 4676136960. Its totient is φ = 801239040.

The previous prime is 1960735607. The next prime is 1960735619. The reversal of 1960735616 is 6165370691.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1960735619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2027165 + ... + 2028131.

It is an arithmetic number, because the mean of its divisors is an integer number (36532320).

Almost surely, 2^1960735616 is an apocalyptic number.

1960735616 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 1960735616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338068480).

1960735616 is an abundant number, since it is smaller than the sum of its proper divisors (2715401344).

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

1960735616 is an equidigital number, since it uses as much as digits as its factorization.

1960735616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 44.

The square root of 1960735616 is about 44280.1943988506. The cubic root of 1960735616 is about 1251.6214937768.

The spelling of 1960735616 in words is "one billion, nine hundred sixty million, seven hundred thirty-five thousand, six hundred sixteen".