687301680 has 320 divisors, whose sum is σ = 2419845120. Its totient is φ = 160247808.

The previous prime is 687301661. The next prime is 687301697. The reversal of 687301680 is 86103786.

It is a super-3 number, since 3×687301680³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6305466 + ... + 6305574.

It is an arithmetic number, because the mean of its divisors is an integer number (7562016).

Almost surely, 2^687301680 is an apocalyptic number.

687301680 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 687301680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209922560).

687301680 is an abundant number, since it is smaller than the sum of its proper divisors (1732543440).

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

687301680 is a wasteful number, since it uses less digits than its factorization.

687301680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 222 counting only the distinct ones).

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

The square root of 687301680 is about 26216.4391174698. The cubic root of 687301680 is about 882.5022103752.

The spelling of 687301680 in words is "six hundred eighty-seven million, three hundred one thousand, six hundred eighty".