1921788960 has 192 divisors, whose sum is σ = 7450797312. Its totient is φ = 405467136.

The previous prime is 1921788923. The next prime is 1921788971. The reversal of 1921788960 is 698871291.

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 31 ways as a sum of consecutive naturals, for example, 21682 + ... + 65678.

It is an arithmetic number, because the mean of its divisors is an integer number (38806236).

Almost surely, 2^1921788960 is an apocalyptic number.

1921788960 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 1921788960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725398656).

1921788960 is an abundant number, since it is smaller than the sum of its proper divisors (5529008352).

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

1921788960 is a wasteful number, since it uses less digits than its factorization.

1921788960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44035 (or 44027 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 51.

The square root of 1921788960 is about 43838.2134672480. The cubic root of 1921788960 is about 1243.2789044033.

The spelling of 1921788960 in words is "one billion, nine hundred twenty-one million, seven hundred eighty-eight thousand, nine hundred sixty".