687673320 has 256 divisors, whose sum is σ = 2264371200. Its totient is φ = 166594560.

The previous prime is 687673319. The next prime is 687673321. The reversal of 687673320 is 23376786.

It is an interprime number because it is at equal distance from previous prime (687673319) and next prime (687673321).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (687673321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6676389 + ... + 6676491.

It is an arithmetic number, because the mean of its divisors is an integer number (8845200).

Almost surely, 2^687673320 is an apocalyptic number.

687673320 is a gapful number since it is divisible by the number (60) 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 687673320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132185600).

687673320 is an abundant number, since it is smaller than the sum of its proper divisors (1576697880).

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

687673320 is a wasteful number, since it uses less digits than its factorization.

687673320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 687673320 is about 26223.5260786951. The cubic root of 687673320 is about 882.6612448693.

The spelling of 687673320 in words is "six hundred eighty-seven million, six hundred seventy-three thousand, three hundred twenty".