1967359872 has 64 divisors (see below), whose sum is σ = 5230506960. Its totient is φ = 655196160.

The previous prime is 1967359871. The next prime is 1967359903. The reversal of 1967359872 is 2789537691.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1967359871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 713248 + ... + 716000.

Almost surely, 2^1967359872 is an apocalyptic number.

1967359872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1967359872 is an abundant number, since it is smaller than the sum of its proper divisors (3263147088).

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

1967359872 is a wasteful number, since it uses less digits than its factorization.

1967359872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4631 (or 4619 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 57.

The square root of 1967359872 is about 44354.9306391071. The cubic root of 1967359872 is about 1253.0294248303.

The spelling of 1967359872 in words is "one billion, nine hundred sixty-seven million, three hundred fifty-nine thousand, eight hundred seventy-two".