682810128 has 320 divisors, whose sum is σ = 2633164800. Its totient is φ = 163607040.

The previous prime is 682810091. The next prime is 682810153. The reversal of 682810128 is 821018286.

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 = 682810092 and 682810101.

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 63 ways as a sum of consecutive naturals, for example, 431643 + ... + 433221.

It is an arithmetic number, because the mean of its divisors is an integer number (8228640).

Almost surely, 2^682810128 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 682810128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316582400).

682810128 is an abundant number, since it is smaller than the sum of its proper divisors (1950354672).

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

682810128 is a wasteful number, since it uses less digits than its factorization.

682810128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 682810128 is about 26130.6358131600. The cubic root of 682810128 is about 880.5756082609.

The spelling of 682810128 in words is "six hundred eighty-two million, eight hundred ten thousand, one hundred twenty-eight".