682663296 has 256 divisors, whose sum is σ = 2173824000. Its totient is φ = 189665280.

The previous prime is 682663291. The next prime is 682663301. The reversal of 682663296 is 692366286.

It is an interprime number because it is at equal distance from previous prime (682663291) and next prime (682663301).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682663291) 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 31 ways as a sum of consecutive naturals, for example, 9351516 + ... + 9351588.

It is an arithmetic number, because the mean of its divisors is an integer number (8491500).

Almost surely, 2^682663296 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 682663296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086912000).

682663296 is an abundant number, since it is smaller than the sum of its proper divisors (1491160704).

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

682663296 is an equidigital number, since it uses as much as digits as its factorization.

682663296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 156 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 48.

The square root of 682663296 is about 26127.8260863777. The cubic root of 682663296 is about 880.5124838570.

The spelling of 682663296 in words is "six hundred eighty-two million, six hundred sixty-three thousand, two hundred ninety-six".