1976160768 has 80 divisors (see below), whose sum is σ = 5283786816. Its totient is φ = 656322560.

The previous prime is 1976160757. The next prime is 1976160793. The reversal of 1976160768 is 8670616791.

It is a super-2 number, since 2×1976160768² = 7810422761964699648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1976160768.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 447853 + ... + 452243.

Almost surely, 2^1976160768 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 1976160768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641893408).

1976160768 is an abundant number, since it is smaller than the sum of its proper divisors (3307626048).

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

1976160768 is an equidigital number, since it uses as much as digits as its factorization.

1976160768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4705 (or 4689 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The square root of 1976160768 is about 44454.0298285768. The cubic root of 1976160768 is about 1254.8951025271.

The spelling of 1976160768 in words is "one billion, nine hundred seventy-six million, one hundred sixty thousand, seven hundred sixty-eight".