1686312 has 64 divisors (see below), whose sum is σ = 4833600. Its totient is φ = 544320.

The previous prime is 1686287. The next prime is 1686319. The reversal of 1686312 is 2136861.

It is a super-2 number, since 2×1686312² = 5687296322688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (1686319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7887 + ... + 8097.

It is an arithmetic number, because the mean of its divisors is an integer number (75525).

2^1686312 is an apocalyptic number.

1686312 is a gapful number since it is divisible by the number (12) 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 1686312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416800).

1686312 is an abundant number, since it is smaller than the sum of its proper divisors (3147288).

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

1686312 is a wasteful number, since it uses less digits than its factorization.

1686312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 253 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 1686312 is about 1298.5807637571. The cubic root of 1686312 is about 119.0271340804.

The spelling of 1686312 in words is "one million, six hundred eighty-six thousand, three hundred twelve".