682748352 has 336 divisors, whose sum is σ = 2392021632. Its totient is φ = 190356480.

The previous prime is 682748347. The next prime is 682748387. The reversal of 682748352 is 253847286.

It is a super-2 number, since 2×682748352² = 932290624317431808, which contains 22 as substring.

Its product of digits (645120) is a multiple of the sum of its prime divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 682748298 and 682748307.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2223783 + ... + 2224089.

It is an arithmetic number, because the mean of its divisors is an integer number (7119112).

Almost surely, 2^682748352 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 682748352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196010816).

682748352 is an abundant number, since it is smaller than the sum of its proper divisors (1709273280).

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

682748352 is a wasteful number, since it uses less digits than its factorization.

682748352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 336 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 682748352 is about 26129.4537256331. The cubic root of 682748352 is about 880.5490513030.

The spelling of 682748352 in words is "six hundred eighty-two million, seven hundred forty-eight thousand, three hundred fifty-two".