687364860 has 288 divisors, whose sum is σ = 2466326016. Its totient is φ = 139276800.

The previous prime is 687364837. The next prime is 687364871. The reversal of 687364860 is 68463786.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5246995 + ... + 5247125.

It is an arithmetic number, because the mean of its divisors is an integer number (8563632).

Almost surely, 2^687364860 is an apocalyptic number.

687364860 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 687364860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233163008).

687364860 is an abundant number, since it is smaller than the sum of its proper divisors (1778961156).

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

687364860 is a wasteful number, since it uses less digits than its factorization.

687364860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 687364860 is about 26217.6440589157. The cubic root of 687364860 is about 882.5292507967.

The spelling of 687364860 in words is "six hundred eighty-seven million, three hundred sixty-four thousand, eight hundred sixty".