1919948960 has 24 divisors (see below), whose sum is σ = 4535879796. Its totient is φ = 767979520.

The previous prime is 1919948951. The next prime is 1919948971. The reversal of 1919948960 is 698499191.

It can be written as a sum of positive squares in 2 ways, for example, as 1874197264 + 45751696 = 43292^2 + 6764^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1919948896 and 1919948905.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 5999681 + ... + 6000000.

Almost surely, 2^1919948960 is an apocalyptic number.

1919948960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1919948960 is an abundant number, since it is smaller than the sum of its proper divisors (2615930836).

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

1919948960 is a wasteful number, since it uses less digits than its factorization.

1919948960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11999696 (or 11999688 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 56.

The square root of 1919948960 is about 43817.2221848898. Note that the first 3 decimals coincide. The cubic root of 1919948960 is about 1242.8819888710.

The spelling of 1919948960 in words is "one billion, nine hundred nineteen million, nine hundred forty-eight thousand, nine hundred sixty".