1916320896 has 256 divisors, whose sum is σ = 6530284800. Its totient is φ = 541900800.

The previous prime is 1916320891. The next prime is 1916320897. The reversal of 1916320896 is 6980236191.

It is a happy number.

1916320896 is a `hidden beast` number, since 1 + 9 + 1 + 632 + 0 + 8 + 9 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (1916320891) 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 31 ways as a sum of consecutive naturals, for example, 2733346 + ... + 2734046.

It is an arithmetic number, because the mean of its divisors is an integer number (25508925).

Almost surely, 2^1916320896 is an apocalyptic number.

1916320896 is a gapful number since it is divisible by the number (16) 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 1916320896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265142400).

1916320896 is an abundant number, since it is smaller than the sum of its proper divisors (4613963904).

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

1916320896 is a wasteful number, since it uses less digits than its factorization.

1916320896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1916320896 is about 43775.8026311340. The cubic root of 1916320896 is about 1242.0986175748.

The spelling of 1916320896 in words is "one billion, nine hundred sixteen million, three hundred twenty thousand, eight hundred ninety-six".