1688013516 has 96 divisors (see below), whose sum is σ = 4750341120. Its totient is φ = 456090624.

The previous prime is 1688013499. The next prime is 1688013517. The reversal of 1688013516 is 6153108861.

It is not an unprimeable number, because it can be changed into a prime (1688013517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167040 + ... + 176856.

It is an arithmetic number, because the mean of its divisors is an integer number (49482720).

Almost surely, 2^1688013516 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 1688013516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375170560).

1688013516 is an abundant number, since it is smaller than the sum of its proper divisors (3062327604).

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

1688013516 is a wasteful number, since it uses less digits than its factorization.

1688013516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9943 (or 9941 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 1688013516 is about 41085.4416551654. The cubic root of 1688013516 is about 1190.6715405565.

The spelling of 1688013516 in words is "one billion, six hundred eighty-eight million, thirteen thousand, five hundred sixteen".