1990928160 has 504 divisors, whose sum is σ = 7711932564. Its totient is φ = 485222400.

The previous prime is 1990928141. The next prime is 1990928161. The reversal of 1990928160 is 618290991.

It can be written as a sum of positive squares in 6 ways, for example, as 666259344 + 1324668816 = 25812^2 + 36396^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1990928161) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 19712110 + ... + 19712210.

Almost surely, 2^1990928160 is an apocalyptic number.

1990928160 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 1990928160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3855966282).

1990928160 is an abundant number, since it is smaller than the sum of its proper divisors (5721004404).

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

1990928160 is a wasteful number, since it uses less digits than its factorization.

1990928160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 1990928160 is about 44619.8180184545. The cubic root of 1990928160 is about 1258.0131953258.

The spelling of 1990928160 in words is "one billion, nine hundred ninety million, nine hundred twenty-eight thousand, one hundred sixty".