1960795760 has 240 divisors, whose sum is σ = 5946449760. Its totient is φ = 594155520.

The previous prime is 1960795751. The next prime is 1960795769. The reversal of 1960795760 is 675970691.

It is an interprime number because it is at equal distance from previous prime (1960795751) and next prime (1960795769).

It is a junction number, because it is equal to n+sod(n) for n = 1960795699 and 1960795708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1960795769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1594826 + ... + 1596054.

It is an arithmetic number, because the mean of its divisors is an integer number (24776874).

Almost surely, 2^1960795760 is an apocalyptic number.

1960795760 is a gapful number since it is divisible by the number (10) 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 1960795760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2973224880).

1960795760 is an abundant number, since it is smaller than the sum of its proper divisors (3985654000).

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

1960795760 is a wasteful number, since it uses less digits than its factorization.

1960795760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 50.

The square root of 1960795760 is about 44280.8735234525. The cubic root of 1960795760 is about 1251.6342911428.

The spelling of 1960795760 in words is "one billion, nine hundred sixty million, seven hundred ninety-five thousand, seven hundred sixty".