687461760 has 288 divisors, whose sum is σ = 2467473840. Its totient is φ = 176332800.

The previous prime is 687461729. The next prime is 687461779. The reversal of 687461760 is 67164786.

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

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9682525 + ... + 9682595.

Almost surely, 2^687461760 is an apocalyptic number.

687461760 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 687461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233736920).

687461760 is an abundant number, since it is smaller than the sum of its proper divisors (1780012080).

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

687461760 is a wasteful number, since it uses less digits than its factorization.

687461760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 122 counting only the distinct ones).

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

The square root of 687461760 is about 26219.4919859253. The cubic root of 687461760 is about 882.5707198287.

The spelling of 687461760 in words is "six hundred eighty-seven million, four hundred sixty-one thousand, seven hundred sixty".