1688112 has 60 divisors (see below), whose sum is σ = 4981080. Its totient is φ = 532224.

The previous prime is 1688101. The next prime is 1688123. The reversal of 1688112 is 2118861.

It is an interprime number because it is at equal distance from previous prime (1688101) and next prime (1688123).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2428 + ... + 3044.

It is an arithmetic number, because the mean of its divisors is an integer number (83018).

2^1688112 is an apocalyptic number.

1688112 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 1688112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490540).

1688112 is an abundant number, since it is smaller than the sum of its proper divisors (3292968).

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

1688112 is a wasteful number, since it uses less digits than its factorization.

1688112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 641 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 1688112 is about 1299.2736432330. The cubic root of 1688112 is about 119.0694695943.

The spelling of 1688112 in words is "one million, six hundred eighty-eight thousand, one hundred twelve".