682823040 has 128 divisors (see below), whose sum is σ = 2187410400. Its totient is φ = 181174272.

The previous prime is 682823039. The next prime is 682823051. The reversal of 682823040 is 40328286.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 682822992 and 682823010.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 438904 + ... + 440456.

Almost surely, 2^682823040 is an apocalyptic number.

682823040 is a gapful number since it is divisible by the number (60) 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 682823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093705200).

682823040 is an abundant number, since it is smaller than the sum of its proper divisors (1504587360).

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

682823040 is a wasteful number, since it uses less digits than its factorization.

682823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 682823040 is about 26130.8828783109. The cubic root of 682823040 is about 880.5811588135.

The spelling of 682823040 in words is "six hundred eighty-two million, eight hundred twenty-three thousand, forty".