688542160 has 40 divisors (see below), whose sum is σ = 1695032136. Its totient is φ = 259215360.

The previous prime is 688542119. The next prime is 688542161. The reversal of 688542160 is 61245886.

It can be written as a sum of positive squares in 4 ways, for example, as 339001744 + 349540416 = 18412^2 + 18696^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688542161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251781 + ... + 254500.

Almost surely, 2^688542160 is an apocalyptic number.

It is an amenable number.

688542160 is an abundant number, since it is smaller than the sum of its proper divisors (1006489976).

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

688542160 is a wasteful number, since it uses less digits than its factorization.

688542160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506311 (or 506305 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 688542160 is about 26240.0868901000. The cubic root of 688542160 is about 883.0328208411.

The spelling of 688542160 in words is "six hundred eighty-eight million, five hundred forty-two thousand, one hundred sixty".