687038016 has 168 divisors, whose sum is σ = 2138111040. Its totient is φ = 194116608.

The previous prime is 687038003. The next prime is 687038021. The reversal of 687038016 is 610830786.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 968670 + ... + 969378.

Almost surely, 2^687038016 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 687038016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069055520).

687038016 is an abundant number, since it is smaller than the sum of its proper divisors (1451073024).

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

687038016 is a wasteful number, since it uses less digits than its factorization.

687038016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 687038016 is about 26211.4100345632. The cubic root of 687038016 is about 882.3893468733.

The spelling of 687038016 in words is "six hundred eighty-seven million, thirty-eight thousand, sixteen".