1868300 has 72 divisors (see below), whose sum is σ = 4937184. Its totient is φ = 599040.

The previous prime is 1868291. The next prime is 1868309. The reversal of 1868300 is 38681.

1868300 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (1868291) and next prime (1868309).

It is a self number, because there is not a number n which added to its sum of digits gives 1868300.

It is not an unprimeable number, because it can be changed into a prime (1868309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11822 + ... + 11978.

It is an arithmetic number, because the mean of its divisors is an integer number (68572).

2^1868300 is an apocalyptic number.

1868300 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 1868300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468592).

1868300 is an abundant number, since it is smaller than the sum of its proper divisors (3068884).

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

1868300 is a wasteful number, since it uses less digits than its factorization.

1868300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 1868300 is about 1366.8577102244. The cubic root of 1868300 is about 123.1635517918.

The spelling of 1868300 in words is "one million, eight hundred sixty-eight thousand, three hundred".