682806240 has 192 divisors, whose sum is σ = 2405894400. Its totient is φ = 180859392.

The previous prime is 682806227. The next prime is 682806281. The reversal of 682806240 is 42608286.

682806240 is a `hidden beast` number, since 6 + 8 + 28 + 0 + 624 + 0 = 666.

It is a super-2 number, since 2×682806240² = 932448722765875200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 682806195 and 682806204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 772839 + ... + 773721.

It is an arithmetic number, because the mean of its divisors is an integer number (12530700).

Almost surely, 2^682806240 is an apocalyptic number.

682806240 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 682806240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202947200).

682806240 is an abundant number, since it is smaller than the sum of its proper divisors (1723088160).

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

682806240 is a wasteful number, since it uses less digits than its factorization.

682806240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 682806240 is about 26130.5614176198. The cubic root of 682806240 is about 880.5739368912.

The spelling of 682806240 in words is "six hundred eighty-two million, eight hundred six thousand, two hundred forty".