687575120 has 20 divisors (see below), whose sum is σ = 1598612340. Its totient is φ = 275030016.

The previous prime is 687575099. The next prime is 687575129. The reversal of 687575120 is 21575786.

It can be written as a sum of positive squares in 2 ways, for example, as 152670736 + 534904384 = 12356^2 + 23128^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687575129) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4297265 + ... + 4297424.

It is an arithmetic number, because the mean of its divisors is an integer number (79930617).

Almost surely, 2^687575120 is an apocalyptic number.

It is an amenable number.

687575120 is an abundant number, since it is smaller than the sum of its proper divisors (911037220).

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

687575120 is a wasteful number, since it uses less digits than its factorization.

687575120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8594702 (or 8594696 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 41.

The square root of 687575120 is about 26221.6536473198. The cubic root of 687575120 is about 882.6192280871.

The spelling of 687575120 in words is "six hundred eighty-seven million, five hundred seventy-five thousand, one hundred twenty".