682135040 has 160 divisors (see below), whose sum is σ = 1717952544. Its totient is φ = 259522560.

The previous prime is 682135033. The next prime is 682135043. The reversal of 682135040 is 40531286.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 682134994 and 682135012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682135043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7032272 + ... + 7032368.

Almost surely, 2^682135040 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 682135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858976272).

682135040 is an abundant number, since it is smaller than the sum of its proper divisors (1035817504).

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

682135040 is an equidigital number, since it uses as much as digits as its factorization.

682135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 682135040 is about 26117.7150608548. The cubic root of 682135040 is about 880.2853069390.

The spelling of 682135040 in words is "six hundred eighty-two million, one hundred thirty-five thousand, forty".