686230272 has 288 divisors, whose sum is σ = 2499893760. Its totient is φ = 180817920.

The previous prime is 686230217. The next prime is 686230301. The reversal of 686230272 is 272032686.

686230272 is a `hidden beast` number, since 6 + 8 + 623 + 0 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 628447 + ... + 629537.

Almost surely, 2^686230272 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 686230272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249946880).

686230272 is an abundant number, since it is smaller than the sum of its proper divisors (1813663488).

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

686230272 is a wasteful number, since it uses less digits than its factorization.

686230272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 686230272 is about 26195.9972514886. The cubic root of 686230272 is about 882.0434057032.

The spelling of 686230272 in words is "six hundred eighty-six million, two hundred thirty thousand, two hundred seventy-two".