682727616 has 280 divisors, whose sum is σ = 2195145216. Its totient is φ = 209018880.

The previous prime is 682727611. The next prime is 682727629. The reversal of 682727616 is 616727286.

682727616 is a `hidden beast` number, since 6 + 8 + 2 + 7 + 27 + 616 = 666.

It is a super-2 number, since 2×682727616² = 932233995298086912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (682727611) 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 39 ways as a sum of consecutive naturals, for example, 5375745 + ... + 5375871.

Almost surely, 2^682727616 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 682727616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097572608).

682727616 is an abundant number, since it is smaller than the sum of its proper divisors (1512417600).

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

682727616 is a wasteful number, since it uses less digits than its factorization.

682727616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 210 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 682727616 is about 26129.0569290206. The cubic root of 682727616 is about 880.5401367203.

It can be divided in two parts, 6827 and 27616, that added together give a palindrome (34443).

The spelling of 682727616 in words is "six hundred eighty-two million, seven hundred twenty-seven thousand, six hundred sixteen".