1967947296 has 96 divisors (see below), whose sum is σ = 5950586880. Its totient is φ = 557819136.

The previous prime is 1967947259. The next prime is 1967947351. The reversal of 1967947296 is 6927497691.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73815 + ... + 96873.

It is an arithmetic number, because the mean of its divisors is an integer number (61985280).

Almost surely, 2^1967947296 is an apocalyptic number.

1967947296 is a gapful number since it is divisible by the number (16) 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 1967947296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975293440).

1967947296 is an abundant number, since it is smaller than the sum of its proper divisors (3982639584).

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

1967947296 is a wasteful number, since it uses less digits than its factorization.

1967947296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23206 (or 23198 counting only the distinct ones).

The product of its digits is 10287648, while the sum is 60.

The square root of 1967947296 is about 44361.5520017053. The cubic root of 1967947296 is about 1253.1541243190.

The spelling of 1967947296 in words is "one billion, nine hundred sixty-seven million, nine hundred forty-seven thousand, two hundred ninety-six".