1688872016 has 20 divisors (see below), whose sum is σ = 3523896852. Its totient is φ = 779479296.

The previous prime is 1688872013. The next prime is 1688872027. The reversal of 1688872016 is 6102788861.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 829209616 + 859662400 = 28796^2 + 29320^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1688872013) 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 3 ways as a sum of consecutive naturals, for example, 4059581 + ... + 4059996.

Almost surely, 2^1688872016 is an apocalyptic number.

1688872016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1688872016 is an abundant number, since it is smaller than the sum of its proper divisors (1835024836).

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

1688872016 is a wasteful number, since it uses less digits than its factorization.

1688872016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8119598 (or 8119592 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 47.

The square root of 1688872016 is about 41095.8880668127. Note that the first 3 decimals coincide. The cubic root of 1688872016 is about 1190.8733592951.

The spelling of 1688872016 in words is "one billion, six hundred eighty-eight million, eight hundred seventy-two thousand, sixteen".