688090041 has 12 divisors (see below), whose sum is σ = 996467940. Its totient is φ = 457545120.

The previous prime is 688090031. The next prime is 688090087. The reversal of 688090041 is 140090886.

It is a happy number.

688090041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 154480041 + 533610000 = 12429^2 + 23100^2 .

It is not a de Polignac number, because 688090041 - 2⁵ = 688090009 is a prime.

It is a super-3 number, since 3×688090041³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 688089978 and 688090005.

It is not an unprimeable number, because it can be changed into a prime (688090021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94770 + ... + 101771.

It is an arithmetic number, because the mean of its divisors is an integer number (83038995).

Almost surely, 2^688090041 is an apocalyptic number.

It is an amenable number.

688090041 is a deficient number, since it is larger than the sum of its proper divisors (308377899).

688090041 is a wasteful number, since it uses less digits than its factorization.

688090041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196936 (or 196933 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 688090041 is about 26231.4704315256. The cubic root of 688090041 is about 882.8395025741.

The spelling of 688090041 in words is "six hundred eighty-eight million, ninety thousand, forty-one".