1868688 has 60 divisors (see below), whose sum is σ = 5513040. Its totient is φ = 589248.

The previous prime is 1868687. The next prime is 1868693. The reversal of 1868688 is 8868681.

It is a happy number.

It is a Cunningham number, because it is equal to 1367²-1.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1868687) 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, 2395 + ... + 3077.

It is an arithmetic number, because the mean of its divisors is an integer number (91884).

2^1868688 is an apocalyptic number.

1868688 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 1868688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756520).

1868688 is an abundant number, since it is smaller than the sum of its proper divisors (3644352).

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

1868688 is a wasteful number, since it uses less digits than its factorization.

1868688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 707 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 1868688 is about 1366.9996342355. Note that the first 3 decimals coincide. The cubic root of 1868688 is about 123.1720772161.

It can be divided in two parts, 1868 and 688, that added together give a triangular number (2556 = T₇₁).

The spelling of 1868688 in words is "one million, eight hundred sixty-eight thousand, six hundred eighty-eight".