1688832 has 54 divisors (see below), whose sum is σ = 4875962. Its totient is φ = 562176.

The previous prime is 1688809. The next prime is 1688837. The reversal of 1688832 is 2388861.

It can be written as a sum of positive squares in only one way, i.e., 1679616 + 9216 = 1296^2 + 96^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1688837) 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 5 ways as a sum of consecutive naturals, for example, 1938 + ... + 2670.

2^1688832 is an apocalyptic number.

1688832 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 1688832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437981).

1688832 is an abundant number, since it is smaller than the sum of its proper divisors (3187130).

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

1688832 is an equidigital number, since it uses as much as digits as its factorization.

1688832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 738 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1688832 is about 1299.5506915854. The cubic root of 1688832 is about 119.0863953734.

The spelling of 1688832 in words is "one million, six hundred eighty-eight thousand, eight hundred thirty-two".