682416768 has 192 divisors, whose sum is σ = 2100016800. Its totient is φ = 195655680.

The previous prime is 682416767. The next prime is 682416769. The reversal of 682416768 is 867614286.

It is an interprime number because it is at equal distance from previous prime (682416767) and next prime (682416769).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (682416767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 882430 + ... + 883202.

Almost surely, 2^682416768 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 682416768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050008400).

682416768 is an abundant number, since it is smaller than the sum of its proper divisors (1417600032).

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

682416768 is a wasteful number, since it uses less digits than its factorization.

682416768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 808 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 682416768 is about 26123.1079314847. The cubic root of 682416768 is about 880.4064788820.

The spelling of 682416768 in words is "six hundred eighty-two million, four hundred sixteen thousand, seven hundred sixty-eight".