1688328816 has 80 divisors (see below), whose sum is σ = 4454801184. Its totient is φ = 550858752.

The previous prime is 1688328799. The next prime is 1688328839. The reversal of 1688328816 is 6188238861.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478290 + ... + 481806.

Almost surely, 2^1688328816 is an apocalyptic number.

1688328816 is a gapful number since it is divisible by the number (16) 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 1688328816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227400592).

1688328816 is an abundant number, since it is smaller than the sum of its proper divisors (2766472368).

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

1688328816 is a wasteful number, since it uses less digits than its factorization.

1688328816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3738 (or 3732 counting only the distinct ones).

The product of its digits is 884736, while the sum is 51.

The square root of 1688328816 is about 41089.2786016012. The cubic root of 1688328816 is about 1190.7456701692.

The spelling of 1688328816 in words is "one billion, six hundred eighty-eight million, three hundred twenty-eight thousand, eight hundred sixteen".