1920801960 has 576 divisors, whose sum is σ = 8354923200. Its totient is φ = 377395200.

The previous prime is 1920801947. The next prime is 1920802043. The reversal of 1920801960 is 691080291.

1920801960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3686500 + ... + 3687020.

It is an arithmetic number, because the mean of its divisors is an integer number (14505075).

Almost surely, 2^1920801960 is an apocalyptic number.

1920801960 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 1920801960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4177461600).

1920801960 is an abundant number, since it is smaller than the sum of its proper divisors (6434121240).

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

1920801960 is a wasteful number, since it uses less digits than its factorization.

1920801960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1920801960 is about 43826.9547196699. The cubic root of 1920801960 is about 1243.0660252509.

The spelling of 1920801960 in words is "one billion, nine hundred twenty million, eight hundred one thousand, nine hundred sixty".