687636072 has 48 divisors (see below), whose sum is σ = 1883290500. Its totient is φ = 226634496.

The previous prime is 687636067. The next prime is 687636073. The reversal of 687636072 is 270636786.

687636072 is a `hidden beast` number, since 6 + 8 + 7 + 636 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 607819716 + 79816356 = 24654^2 + 8934^2 .

It is not an unprimeable number, because it can be changed into a prime (687636073) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 47247 + ... + 60062.

Almost surely, 2^687636072 is an apocalyptic number.

It is an amenable number.

687636072 is an abundant number, since it is smaller than the sum of its proper divisors (1195654428).

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

687636072 is a wasteful number, since it uses less digits than its factorization.

687636072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107410 (or 107403 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 687636072 is about 26222.8158671032. The cubic root of 687636072 is about 882.6453080581.

The spelling of 687636072 in words is "six hundred eighty-seven million, six hundred thirty-six thousand, seventy-two".