682054128 has 160 divisors (see below), whose sum is σ = 2283584000. Its totient is φ = 194830272.

The previous prime is 682054123. The next prime is 682054129. The reversal of 682054128 is 821450286.

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 = 682054092 and 682054101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682054123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145875 + ... + 150477.

It is an arithmetic number, because the mean of its divisors is an integer number (14272400).

Almost surely, 2^682054128 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 682054128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141792000).

682054128 is an abundant number, since it is smaller than the sum of its proper divisors (1601529872).

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

682054128 is a wasteful number, since it uses less digits than its factorization.

682054128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4641 (or 4615 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 682054128 is about 26116.1660279605. The cubic root of 682054128 is about 880.2505003113.

The spelling of 682054128 in words is "six hundred eighty-two million, fifty-four thousand, one hundred twenty-eight".