1968006547 has 32 divisors (see below), whose sum is σ = 2297574720. Its totient is φ = 1669324800.

The previous prime is 1968006517. The next prime is 1968006553. The reversal of 1968006547 is 7456008691.

It is not a de Polignac number, because 1968006547 - 2¹⁵ = 1967973779 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1968006497 and 1968006506.

It is not an unprimeable number, because it can be changed into a prime (1968006517) by changing a digit.

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, 4696704 + ... + 4697122.

It is an arithmetic number, because the mean of its divisors is an integer number (71799210).

Almost surely, 2^1968006547 is an apocalyptic number.

1968006547 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1968006547 is a deficient number, since it is larger than the sum of its proper divisors (329568173).

1968006547 is a wasteful number, since it uses less digits than its factorization.

1968006547 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903.

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 1968006547 is about 44362.2198159650. The cubic root of 1968006547 is about 1253.1667008567.

The spelling of 1968006547 in words is "one billion, nine hundred sixty-eight million, six thousand, five hundred forty-seven".