1820718564 has 96 divisors (see below), whose sum is σ = 5150428416. Its totient is φ = 488693760.

The previous prime is 1820718563. The next prime is 1820718577. The reversal of 1820718564 is 4658170281.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1820718563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1171612 + ... + 1173164.

It is an arithmetic number, because the mean of its divisors is an integer number (53650296).

Almost surely, 2^1820718564 is an apocalyptic number.

1820718564 is a gapful number since it is divisible by the number (14) 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 1820718564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575214208).

1820718564 is an abundant number, since it is smaller than the sum of its proper divisors (3329709852).

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

1820718564 is a wasteful number, since it uses less digits than its factorization.

1820718564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 1820718564 is about 42669.8788842903. The cubic root of 1820718564 is about 1221.0898091423.

The spelling of 1820718564 in words is "one billion, eight hundred twenty million, seven hundred eighteen thousand, five hundred sixty-four".