1806428160 has 288 divisors, whose sum is σ = 6634784520. Its totient is φ = 452984832.

The previous prime is 1806428147. The next prime is 1806428161. The reversal of 1806428160 is 618246081.

1806428160 is a `hidden beast` number, since 1 + 8 + 0 + 642 + 8 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1759970304 + 46457856 = 41952^2 + 6816^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1806428161) 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, 1566144 + ... + 1567296.

Almost surely, 2^1806428160 is an apocalyptic number.

1806428160 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 1806428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317392260).

1806428160 is an abundant number, since it is smaller than the sum of its proper divisors (4828356360).

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

1806428160 is a wasteful number, since it uses less digits than its factorization.

1806428160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1806428160 is about 42502.0959483177. The cubic root of 1806428160 is about 1217.8867294181.

The spelling of 1806428160 in words is "one billion, eight hundred six million, four hundred twenty-eight thousand, one hundred sixty".