687328320 has 224 divisors, whose sum is σ = 2603040768. Its totient is φ = 150239232.

The previous prime is 687328319. The next prime is 687328321. The reversal of 687328320 is 23823786.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (687328319) and next prime (687328321).

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

It is a super-3 number, since 3×687328320³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (687328321) 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, 152337 + ... + 156783.

Almost surely, 2^687328320 is an apocalyptic number.

687328320 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 687328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301520384).

687328320 is an abundant number, since it is smaller than the sum of its proper divisors (1915712448).

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

687328320 is a wasteful number, since it uses less digits than its factorization.

687328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4497 (or 4487 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 687328320 is about 26216.9471907009. The cubic root of 687328320 is about 882.5136122364.

The spelling of 687328320 in words is "six hundred eighty-seven million, three hundred twenty-eight thousand, three hundred twenty".