1803165120 has 168 divisors, whose sum is σ = 6264554400. Its totient is φ = 476006400.

The previous prime is 1803165097. The next prime is 1803165121. The reversal of 1803165120 is 215613081.

1803165120 is a `hidden beast` number, since 1 + 8 + 0 + 3 + 1 + 651 + 2 + 0 = 666.

1803165120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1803165120² = 6502808899969228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1803165121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287781 + ... + 293979.

Almost surely, 2^1803165120 is an apocalyptic number.

1803165120 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 1803165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132277200).

1803165120 is an abundant number, since it is smaller than the sum of its proper divisors (4461389280).

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

1803165120 is a wasteful number, since it uses less digits than its factorization.

1803165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6323 (or 6310 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1803165120 is about 42463.6917848649. The cubic root of 1803165120 is about 1217.1529778775.

The spelling of 1803165120 in words is "one billion, eight hundred three million, one hundred sixty-five thousand, one hundred twenty".