1968139680 has 96 divisors (see below), whose sum is σ = 6676556544. Its totient is φ = 484463616.

The previous prime is 1968139661. The next prime is 1968139697. The reversal of 1968139680 is 869318691.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 151464 + ... + 163943.

It is an arithmetic number, because the mean of its divisors is an integer number (69547464).

Almost surely, 2^1968139680 is an apocalyptic number.

1968139680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1968139680 is an abundant number, since it is smaller than the sum of its proper divisors (4708416864).

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

1968139680 is a wasteful number, since it uses less digits than its factorization.

1968139680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315438 (or 315430 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The square root of 1968139680 is about 44363.7203128863. The cubic root of 1968139680 is about 1253.1949585676.

The spelling of 1968139680 in words is "one billion, nine hundred sixty-eight million, one hundred thirty-nine thousand, six hundred eighty".