686068040 has 128 divisors (see below), whose sum is σ = 1822383360. Its totient is φ = 227595264.

The previous prime is 686068013. The next prime is 686068043. The reversal of 686068040 is 40860686.

It is a junction number, because it is equal to n+sod(n) for n = 686067985 and 686068003.

It is not an unprimeable number, because it can be changed into a prime (686068043) 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 31 ways as a sum of consecutive naturals, for example, 1231442 + ... + 1231998.

It is an arithmetic number, because the mean of its divisors is an integer number (14237370).

Almost surely, 2^686068040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 686068040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911191680).

686068040 is an abundant number, since it is smaller than the sum of its proper divisors (1136315320).

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

686068040 is a wasteful number, since it uses less digits than its factorization.

686068040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 686068040 is about 26192.9005648477. The cubic root of 686068040 is about 881.9738921353.

The spelling of 686068040 in words is "six hundred eighty-six million, sixty-eight thousand, forty".