1820261160 has 80 divisors (see below), whose sum is σ = 6118110900. Its totient is φ = 485402112.

The previous prime is 1820261153. The next prime is 1820261171. The reversal of 1820261160 is 611620281.

It can be written as a sum of positive squares in 2 ways, for example, as 1818340164 + 1920996 = 42642^2 + 1386^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 277665 + ... + 284144.

Almost surely, 2^1820261160 is an apocalyptic number.

1820261160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1820261160 is an abundant number, since it is smaller than the sum of its proper divisors (4297849740).

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

1820261160 is a wasteful number, since it uses less digits than its factorization.

1820261160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561832 (or 561819 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1820261160 is about 42664.5187480182. The cubic root of 1820261160 is about 1220.9875458286.

The spelling of 1820261160 in words is "one billion, eight hundred twenty million, two hundred sixty-one thousand, one hundred sixty".