1968131760 has 160 divisors (see below), whose sum is σ = 7051691520. Its totient is φ = 444770304.

The previous prime is 1968131743. The next prime is 1968131771. The reversal of 1968131760 is 671318691.

1968131760 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×1968131760⁴ (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142939 + ... + 156101.

It is an arithmetic number, because the mean of its divisors is an integer number (44073072).

Almost surely, 2^1968131760 is an apocalyptic number.

1968131760 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 1968131760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525845760).

1968131760 is an abundant number, since it is smaller than the sum of its proper divisors (5083559760).

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

1968131760 is a wasteful number, since it uses less digits than its factorization.

1968131760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13275 (or 13269 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 1968131760 is about 44363.6310506703. The cubic root of 1968131760 is about 1253.1932775695.

The spelling of 1968131760 in words is "one billion, nine hundred sixty-eight million, one hundred thirty-one thousand, seven hundred sixty".