1968095376 has 60 divisors (see below), whose sum is σ = 5931626428. Its totient is φ = 605567232.

The previous prime is 1968095347. The next prime is 1968095401. The reversal of 1968095376 is 6735908691.

1968095376 is a `hidden beast` number, since 196 + 80 + 9 + 5 + 376 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 151290000 + 1816805376 = 12300^2 + 42624^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 523795 + ... + 527538.

Almost surely, 2^1968095376 is an apocalyptic number.

1968095376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1968095376 is an abundant number, since it is smaller than the sum of its proper divisors (3963531052).

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

1968095376 is a wasteful number, since it uses less digits than its factorization.

1968095376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051360 (or 1051351 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 1968095376 is about 44363.2209831522. The cubic root of 1968095376 is about 1253.1855551080.

The spelling of 1968095376 in words is "one billion, nine hundred sixty-eight million, ninety-five thousand, three hundred seventy-six".