1800081864 has 96 divisors (see below), whose sum is σ = 5621166720. Its totient is φ = 509741568.

The previous prime is 1800081863. The next prime is 1800081901. The reversal of 1800081864 is 4681800081.

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (1800081863) 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, 41149 + ... + 72755.

It is an arithmetic number, because the mean of its divisors is an integer number (58553820).

Almost surely, 2^1800081864 is an apocalyptic number.

1800081864 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 1800081864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810583360).

1800081864 is an abundant number, since it is smaller than the sum of its proper divisors (3821084856).

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

1800081864 is a wasteful number, since it uses less digits than its factorization.

1800081864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31739 (or 31732 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1800081864 is about 42427.3716367158. The cubic root of 1800081864 is about 1216.4588400716.

The spelling of 1800081864 in words is "one billion, eight hundred million, eighty-one thousand, eight hundred sixty-four".