1688743104 has 224 divisors, whose sum is σ = 4935321600. Its totient is φ = 507617280.

The previous prime is 1688743103. The next prime is 1688743141. The reversal of 1688743104 is 4013478861.

It is not an unprimeable number, because it can be changed into a prime (1688743103) 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 31 ways as a sum of consecutive naturals, for example, 12326524 + ... + 12326660.

Almost surely, 2^1688743104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1688743104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467660800).

1688743104 is an abundant number, since it is smaller than the sum of its proper divisors (3246578496).

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

1688743104 is a wasteful number, since it uses less digits than its factorization.

1688743104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 1688743104 is about 41094.3196074591. The cubic root of 1688743104 is about 1190.8430586425.

The spelling of 1688743104 in words is "one billion, six hundred eighty-eight million, seven hundred forty-three thousand, one hundred four".