1800648 has 48 divisors (see below), whose sum is σ = 4949100. Its totient is φ = 591360.

The previous prime is 1800641. The next prime is 1800677. The reversal of 1800648 is 8460081.

1800648 is a `hidden beast` number, since 18 + 0 + 0 + 648 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1790244 + 10404 = 1338^2 + 102^2 .

It is not an unprimeable number, because it can be changed into a prime (1800641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6268 + ... + 6548.

2^1800648 is an apocalyptic number.

1800648 is a gapful number since it is divisible by the number (18) 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 1800648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474550).

1800648 is an abundant number, since it is smaller than the sum of its proper divisors (3148452).

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

1800648 is a wasteful number, since it uses less digits than its factorization.

1800648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 375 counting only the distinct ones).

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

The square root of 1800648 is about 1341.8822601108. The cubic root of 1800648 is about 121.6586354449.

It can be divided in two parts, 1800 and 648, that multiplied together give a square (1166400 = 1080²).

The spelling of 1800648 in words is "one million, eight hundred thousand, six hundred forty-eight".