1967378112 has 224 divisors, whose sum is σ = 6772899840. Its totient is φ = 548259840.

The previous prime is 1967378111. The next prime is 1967378129. The reversal of 1967378112 is 2118737691.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1967378111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493953 + ... + 497919.

It is an arithmetic number, because the mean of its divisors is an integer number (30236160).

Almost surely, 2^1967378112 is an apocalyptic number.

1967378112 is a gapful number since it is divisible by the number (12) 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 1967378112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386449920).

1967378112 is an abundant number, since it is smaller than the sum of its proper divisors (4805521728).

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

1967378112 is a wasteful number, since it uses less digits than its factorization.

1967378112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4036 (or 4020 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 1967378112 is about 44355.1362527498. The cubic root of 1967378112 is about 1253.0332972258.

The spelling of 1967378112 in words is "one billion, nine hundred sixty-seven million, three hundred seventy-eight thousand, one hundred twelve".