1688199852 has 54 divisors (see below), whose sum is σ = 4089648108. Its totient is φ = 542000256.

The previous prime is 1688199809. The next prime is 1688199857. The reversal of 1688199852 is 2589918861.

It is a junction number, because it is equal to n+sod(n) for n = 1688199792 and 1688199801.

It is not an unprimeable number, because it can be changed into a prime (1688199857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4127424 + ... + 4127832.

Almost surely, 2^1688199852 is an apocalyptic number.

1688199852 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 1688199852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044824054).

1688199852 is an abundant number, since it is smaller than the sum of its proper divisors (2401448256).

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

1688199852 is an equidigital number, since it uses as much as digits as its factorization.

1688199852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 443 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 57.

The square root of 1688199852 is about 41087.7092571489. The cubic root of 1688199852 is about 1190.7153507919.

The spelling of 1688199852 in words is "one billion, six hundred eighty-eight million, one hundred ninety-nine thousand, eight hundred fifty-two".