687354720 has 192 divisors, whose sum is σ = 2372509440. Its totient is φ = 166238208.

The previous prime is 687354719. The next prime is 687354737. The reversal of 687354720 is 27453786.

It is a super-2 number, since 2×687354720² = 944913022212556800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 367227 + ... + 369093.

It is an arithmetic number, because the mean of its divisors is an integer number (12356820).

Almost surely, 2^687354720 is an apocalyptic number.

687354720 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 687354720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186254720).

687354720 is an abundant number, since it is smaller than the sum of its proper divisors (1685154720).

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

687354720 is a wasteful number, since it uses less digits than its factorization.

687354720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 687354720 is about 26217.4506769823. The cubic root of 687354720 is about 882.5249110876.

The spelling of 687354720 in words is "six hundred eighty-seven million, three hundred fifty-four thousand, seven hundred twenty".