1967947968 has 112 divisors (see below), whose sum is σ = 5990726144. Its totient is φ = 558489600.

The previous prime is 1967947963. The next prime is 1967947979. The reversal of 1967947968 is 8697497691.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 1967947899 and 1967947908.

It is not an unprimeable number, because it can be changed into a prime (1967947963) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 198096 + ... + 207792.

Almost surely, 2^1967947968 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 1967947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2995363072).

1967947968 is an abundant number, since it is smaller than the sum of its proper divisors (4022778176).

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

1967947968 is a wasteful number, since it uses less digits than its factorization.

1967947968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9870 (or 9860 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 66.

The square root of 1967947968 is about 44361.5595758310. The cubic root of 1967947968 is about 1253.1542669582.

The spelling of 1967947968 in words is "one billion, nine hundred sixty-seven million, nine hundred forty-seven thousand, nine hundred sixty-eight".