1800864 has 108 divisors (see below), whose sum is σ = 5695326. Its totient is φ = 539136.

The previous prime is 1800863. The next prime is 1800889. The reversal of 1800864 is 4680081.

It can be written as a sum of positive squares in 3 ways, for example, as 1299600 + 501264 = 1140^2 + 708^2 .

It is a super-2 number, since 2×1800864² = 6486222292992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1800863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48654 + ... + 48690.

2^1800864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1800864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2847663).

1800864 is an abundant number, since it is smaller than the sum of its proper divisors (3894462).

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

1800864 is a wasteful number, since it uses less digits than its factorization.

1800864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1800864 is about 1341.9627416586. The cubic root of 1800864 is about 121.6634998446.

The spelling of 1800864 in words is "one million, eight hundred thousand, eight hundred sixty-four".