682172568 has 192 divisors, whose sum is σ = 2383430400. Its totient is φ = 171037440.

The previous prime is 682172567. The next prime is 682172611. The reversal of 682172568 is 865271286.

682172568 is a `hidden beast` number, since 6 + 82 + 1 + 7 + 2 + 568 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682172563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158655 + ... + 162897.

It is an arithmetic number, because the mean of its divisors is an integer number (12413700).

Almost surely, 2^682172568 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 682172568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191715200).

682172568 is an abundant number, since it is smaller than the sum of its proper divisors (1701257832).

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

682172568 is a wasteful number, since it uses less digits than its factorization.

682172568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4302 (or 4295 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 682172568 is about 26118.4334905446. The cubic root of 682172568 is about 880.3014497549.

The spelling of 682172568 in words is "six hundred eighty-two million, one hundred seventy-two thousand, five hundred sixty-eight".