1920335040 has 560 divisors, whose sum is σ = 7590068640. Its totient is φ = 457850880.

The previous prime is 1920335029. The next prime is 1920335047. The reversal of 1920335040 is 405330291.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1920334995 and 1920335013.

It is not an unprimeable number, because it can be changed into a prime (1920335047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13815291 + ... + 13815429.

It is an arithmetic number, because the mean of its divisors is an integer number (13553694).

Almost surely, 2^1920335040 is an apocalyptic number.

1920335040 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 1920335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3795034320).

1920335040 is an abundant number, since it is smaller than the sum of its proper divisors (5669733600).

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

1920335040 is a wasteful number, since it uses less digits than its factorization.

1920335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1920335040 is about 43821.6275370963. The cubic root of 1920335040 is about 1242.9652931198.

The spelling of 1920335040 in words is "one billion, nine hundred twenty million, three hundred thirty-five thousand, forty".