687881320 has 256 divisors, whose sum is σ = 1986969600. Its totient is φ = 209018880.

The previous prime is 687881303. The next prime is 687881321. The reversal of 687881320 is 23188786.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (687881321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7091512 + ... + 7091608.

It is an arithmetic number, because the mean of its divisors is an integer number (7761600).

Almost surely, 2^687881320 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 687881320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993484800).

687881320 is an abundant number, since it is smaller than the sum of its proper divisors (1299088280).

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

687881320 is a wasteful number, since it uses less digits than its factorization.

687881320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The square root of 687881320 is about 26227.4916833463. The cubic root of 687881320 is about 882.7502285123.

The spelling of 687881320 in words is "six hundred eighty-seven million, eight hundred eighty-one thousand, three hundred twenty".