686128968 has 196 divisors, whose sum is σ = 2250328515. Its totient is φ = 196036848.

The previous prime is 686128957. The next prime is 686128979. The reversal of 686128968 is 869821686.

It is a happy number.

The cubic root of 686128968 is 882.

It is a perfect power (a cube), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (686128957) and next prime (686128979).

It can be written as a sum of positive squares in only one way, i.e., 343064484 + 343064484 = 18522^2 + 18522^2 .

It is a tau number, because it is divible by the number of its divisors (196).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=18522.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1990656) is a multiple of the sum of its prime divisors (12).

It is an unprimeable number.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 98018421 + ... + 98018427.

Almost surely, 2^686128968 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 686128968

686128968 is an abundant number, since it is smaller than the sum of its proper divisors (1564199547).

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

686128968 is an frugal number, since it uses more digits than its factorization.

686128968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 12 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 686128968 is about 26194.0636022745.

The spelling of 686128968 in words is "six hundred eighty-six million, one hundred twenty-eight thousand, nine hundred sixty-eight".