1920996000 has 1080 divisors, whose sum is σ = 9015234228. Its totient is φ = 399168000.

The previous prime is 1920995987. The next prime is 1920996013. The reversal of 1920996000 is 6990291.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (1920995987) and next prime (1920996013).

It can be written as a sum of positive squares in 2 ways, for example, as 1298593296 + 622402704 = 36036^2 + 24948^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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 179 ways as a sum of consecutive naturals, for example, 174635995 + ... + 174636005.

Almost surely, 2^1920996000 is an apocalyptic number.

1920996000 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 1920996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4507617114).

1920996000 is an abundant number, since it is smaller than the sum of its proper divisors (7094238228).

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

1920996000 is a wasteful number, since it uses less digits than its factorization.

1920996000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 1920996000 is about 43829.1683699337. The cubic root of 1920996000 is about 1243.1078821445.

The spelling of 1920996000 in words is "one billion, nine hundred twenty million, nine hundred ninety-six thousand".