1920533760 has 288 divisors, whose sum is σ = 6934556160. Its totient is φ = 503193600.

The previous prime is 1920533717. The next prime is 1920533773. The reversal of 1920533760 is 673350291.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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, 2107705 + ... + 2108615.

It is an arithmetic number, because the mean of its divisors is an integer number (24078320).

Almost surely, 2^1920533760 is an apocalyptic number.

1920533760 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 1920533760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467278080).

1920533760 is an abundant number, since it is smaller than the sum of its proper divisors (5014022400).

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

1920533760 is an equidigital number, since it uses as much as digits as its factorization.

1920533760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 1920533760 is about 43823.8948520097. The cubic root of 1920533760 is about 1243.0081664619.

The spelling of 1920533760 in words is "one billion, nine hundred twenty million, five hundred thirty-three thousand, seven hundred sixty".