687936704 has 224 divisors, whose sum is σ = 1787444736. Its totient is φ = 255467520.

The previous prime is 687936703. The next prime is 687936719. The reversal of 687936704 is 407639786.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (687936701) 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, 10267679 + ... + 10267745.

It is an arithmetic number, because the mean of its divisors is an integer number (7979664).

Almost surely, 2^687936704 is an apocalyptic number.

687936704 is a gapful number since it is divisible by the number (64) 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 687936704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893722368).

687936704 is an abundant number, since it is smaller than the sum of its proper divisors (1099508032).

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

687936704 is a wasteful number, since it uses less digits than its factorization.

687936704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 50.

The square root of 687936704 is about 26228.5475007672. The cubic root of 687936704 is about 882.7739190944.

The spelling of 687936704 in words is "six hundred eighty-seven million, nine hundred thirty-six thousand, seven hundred four".