1819688960 has 120 divisors (see below), whose sum is σ = 4431409080. Its totient is φ = 717225984.

The previous prime is 1819688917. The next prime is 1819689017. The reversal of 1819688960 is 698869181.

It can be written as a sum of positive squares in 4 ways, for example, as 507510784 + 1312178176 = 22528^2 + 36224^2 .

It is a super-2 number, since 2×1819688960² = 6622535822291763200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1819688896 and 1819688905.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7946126 + ... + 7946354.

It is an arithmetic number, because the mean of its divisors is an integer number (36928409).

Almost surely, 2^1819688960 is an apocalyptic number.

1819688960 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 1819688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2215704540).

1819688960 is an abundant number, since it is smaller than the sum of its proper divisors (2611720120).

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

1819688960 is an frugal number, since it uses more digits than its factorization.

1819688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 56.

The square root of 1819688960 is about 42657.8124146094. The cubic root of 1819688960 is about 1220.8595930731.

The spelling of 1819688960 in words is "one billion, eight hundred nineteen million, six hundred eighty-eight thousand, nine hundred sixty".