687641760 has 288 divisors, whose sum is σ = 2557835280. Its totient is φ = 167215104.

The previous prime is 687641729. The next prime is 687641797. The reversal of 687641760 is 67146786.

It can be written as a sum of positive squares in 8 ways, for example, as 158457744 + 529184016 = 12588^2 + 23004^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×687641760³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2040312 + ... + 2040648.

Almost surely, 2^687641760 is an apocalyptic number.

687641760 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 687641760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278917640).

687641760 is an abundant number, since it is smaller than the sum of its proper divisors (1870193520).

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

687641760 is a wasteful number, since it uses less digits than its factorization.

687641760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 687641760 is about 26222.9243220507. The cubic root of 687641760 is about 882.6477417450.

The spelling of 687641760 in words is "six hundred eighty-seven million, six hundred forty-one thousand, seven hundred sixty".