1996565760 has 648 divisors, whose sum is σ = 8396964576. Its totient is φ = 452874240.

The previous prime is 1996565759. The next prime is 1996565869. The reversal of 1996565760 is 675656991.

1996565760 is a `hidden beast` number, since 1 + 9 + 9 + 6 + 565 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1996565697 and 1996565706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15240895 + ... + 15241025.

Almost surely, 2^1996565760 is an apocalyptic number.

1996565760 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 1996565760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198482288).

1996565760 is an abundant number, since it is smaller than the sum of its proper divisors (6400398816).

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

1996565760 is an equidigital number, since it uses as much as digits as its factorization.

1996565760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The square root of 1996565760 is about 44682.9470827518. The cubic root of 1996565760 is about 1259.1994915253.

The spelling of 1996565760 in words is "one billion, nine hundred ninety-six million, five hundred sixty-five thousand, seven hundred sixty".