1868800 has 66 divisors (see below), whose sum is σ = 4695818. Its totient is φ = 737280.

The previous prime is 1868777. The next prime is 1868807. The reversal of 1868800 is 88681.

It can be written as a sum of positive squares in 3 ways, for example, as 147456 + 1721344 = 384^2 + 1312^2 .

It is not an unprimeable number, because it can be changed into a prime (1868807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25564 + ... + 25636.

2^1868800 is an apocalyptic number.

1868800 is a gapful number since it is divisible by the number (10) 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 1868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347909).

1868800 is an abundant number, since it is smaller than the sum of its proper divisors (2827018).

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

1868800 is an equidigital number, since it uses as much as digits as its factorization.

1868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 1868800 is about 1367.0405992508. The cubic root of 1868800 is about 123.1745379438.

The spelling of 1868800 in words is "one million, eight hundred sixty-eight thousand, eight hundred".