687516720 has 160 divisors (see below), whose sum is σ = 2461985280. Its totient is φ = 156856320.

The previous prime is 687516719. The next prime is 687516727. The reversal of 687516720 is 27615786.

It is not an unprimeable number, because it can be changed into a prime (687516727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37221 + ... + 52539.

It is an arithmetic number, because the mean of its divisors is an integer number (15387408).

Almost surely, 2^687516720 is an apocalyptic number.

687516720 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 687516720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230992640).

687516720 is an abundant number, since it is smaller than the sum of its proper divisors (1774468560).

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

687516720 is a wasteful number, since it uses less digits than its factorization.

687516720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15363 (or 15357 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 687516720 is about 26220.5400402051. The cubic root of 687516720 is about 882.5942386128.

The spelling of 687516720 in words is "six hundred eighty-seven million, five hundred sixteen thousand, seven hundred twenty".