687202560 has 648 divisors, whose sum is σ = 2862601560. Its totient is φ = 151388160.

The previous prime is 687202547. The next prime is 687202561. The reversal of 687202560 is 65202786.

It can be written as a sum of positive squares in 4 ways, for example, as 147476736 + 539725824 = 12144^2 + 23232^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687202561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23696626 + ... + 23696654.

It is an arithmetic number, because the mean of its divisors is an integer number (4417595).

Almost surely, 2^687202560 is an apocalyptic number.

687202560 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 687202560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431300780).

687202560 is an abundant number, since it is smaller than the sum of its proper divisors (2175399000).

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

687202560 is a wasteful number, since it uses less digits than its factorization.

687202560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 687202560 is about 26214.5486323911. The cubic root of 687202560 is about 882.4597846462.

The spelling of 687202560 in words is "six hundred eighty-seven million, two hundred two thousand, five hundred sixty".