1801820160 has 768 divisors, whose sum is σ = 7862400000. Its totient is φ = 390168576.

The previous prime is 1801820159. The next prime is 1801820173. The reversal of 1801820160 is 610281081.

It is a tau number, because it is divible by the number of its divisors (768).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94832631 + ... + 94832649.

It is an arithmetic number, because the mean of its divisors is an integer number (10237500).

Almost surely, 2^1801820160 is an apocalyptic number.

1801820160 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 1801820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931200000).

1801820160 is an abundant number, since it is smaller than the sum of its proper divisors (6060579840).

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

1801820160 is an equidigital number, since it uses as much as digits as its factorization.

1801820160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 1801820160 is about 42447.8522424869. The cubic root of 1801820160 is about 1216.8502824982.

The spelling of 1801820160 in words is "one billion, eight hundred one million, eight hundred twenty thousand, one hundred sixty".