1688473960 has 64 divisors (see below), whose sum is σ = 3956850000. Its totient is φ = 647657472.

The previous prime is 1688473957. The next prime is 1688473973. The reversal of 1688473960 is 693748861.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 291658084 + 1396815876 = 17078^2 + 37374^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1688473898 and 1688473907.

It is an unprimeable number.

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, 167956 + ... + 177724.

Almost surely, 2^1688473960 is an apocalyptic number.

1688473960 is a gapful number since it is divisible by the number (10) 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 1688473960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978425000).

1688473960 is an abundant number, since it is smaller than the sum of its proper divisors (2268376040).

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

1688473960 is a wasteful number, since it uses less digits than its factorization.

1688473960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9958 (or 9954 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The square root of 1688473960 is about 41091.0447664695. The cubic root of 1688473960 is about 1190.7797916103.

The spelling of 1688473960 in words is "one billion, six hundred eighty-eight million, four hundred seventy-three thousand, nine hundred sixty".