682410240 has 216 divisors, whose sum is σ = 2426395608. Its totient is φ = 176947200.

The previous prime is 682410227. The next prime is 682410269. The reversal of 682410240 is 42014286.

682410240 is a `hidden beast` number, since 6 + 8 + 2 + 410 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 429981696 + 252428544 = 20736^2 + 15888^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425440 + ... + 427040.

It is an arithmetic number, because the mean of its divisors is an integer number (11233313).

Almost surely, 2^682410240 is an apocalyptic number.

682410240 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 682410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213197804).

682410240 is an abundant number, since it is smaller than the sum of its proper divisors (1743985368).

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

682410240 is a wasteful number, since it uses less digits than its factorization.

682410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 682410240 is about 26122.9829843378. The cubic root of 682410240 is about 880.4036715497.

The spelling of 682410240 in words is "six hundred eighty-two million, four hundred ten thousand, two hundred forty".