682686576 has 320 divisors, whose sum is σ = 2364848640. Its totient is φ = 185794560.

The previous prime is 682686559. The next prime is 682686577. The reversal of 682686576 is 675686286.

682686576 is a `hidden beast` number, since 6 + 8 + 2 + 68 + 6 + 576 = 666.

It is a super-2 number, since 2×682686576² = 932121922101207552, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682686577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2656240 + ... + 2656496.

It is an arithmetic number, because the mean of its divisors is an integer number (7390152).

Almost surely, 2^682686576 is an apocalyptic number.

682686576 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682686576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182424320).

682686576 is an abundant number, since it is smaller than the sum of its proper divisors (1682162064).

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

682686576 is a wasteful number, since it uses less digits than its factorization.

682686576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 329 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 682686576 is about 26128.2715846265. The cubic root of 682686576 is about 880.5224927431.

The spelling of 682686576 in words is "six hundred eighty-two million, six hundred eighty-six thousand, five hundred seventy-six".