1868500 has 48 divisors (see below), whose sum is σ = 4232592. Its totient is φ = 720000.

The previous prime is 1868483. The next prime is 1868501. The reversal of 1868500 is 58681.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 13456 + 1855044 = 116^2 + 1362^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1868501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18450 + ... + 18550.

It is an arithmetic number, because the mean of its divisors is an integer number (88179).

2^1868500 is an apocalyptic number.

1868500 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 1868500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116296).

1868500 is an abundant number, since it is smaller than the sum of its proper divisors (2364092).

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

1868500 is a wasteful number, since it uses less digits than its factorization.

1868500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 1868500 is about 1366.9308687714. The cubic root of 1868500 is about 123.1679464878.

The spelling of 1868500 in words is "one million, eight hundred sixty-eight thousand, five hundred".