1916968960 has 112 divisors (see below), whose sum is σ = 4872828456. Its totient is φ = 721420288.

The previous prime is 1916968903. The next prime is 1916968967. The reversal of 1916968960 is 698696191.

It can be written as a sum of positive squares in 4 ways, for example, as 1910738944 + 6230016 = 43712^2 + 2496^2 .

It is not an unprimeable number, because it can be changed into a prime (1916968967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 694944 + ... + 697696.

Almost surely, 2^1916968960 is an apocalyptic number.

1916968960 is a gapful number since it is divisible by the number (10) 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 1916968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436414228).

1916968960 is an abundant number, since it is smaller than the sum of its proper divisors (2955859496).

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

1916968960 is an equidigital number, since it uses as much as digits as its factorization.

1916968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2801 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 55.

The square root of 1916968960 is about 43783.2040855851. The cubic root of 1916968960 is about 1242.2386199924.

The spelling of 1916968960 in words is "one billion, nine hundred sixteen million, nine hundred sixty-eight thousand, nine hundred sixty".