680434128 has 240 divisors, whose sum is σ = 2216376000. Its totient is φ = 198201600.

The previous prime is 680434091. The next prime is 680434147. The reversal of 680434128 is 821434086.

It is a super-3 number, since 3×680434128³ (a number of 27 digits) contains 333 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 = 680434092 and 680434101.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4566598 + ... + 4566746.

It is an arithmetic number, because the mean of its divisors is an integer number (9234900).

Almost surely, 2^680434128 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 680434128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108188000).

680434128 is an abundant number, since it is smaller than the sum of its proper divisors (1535941872).

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

680434128 is a wasteful number, since it uses less digits than its factorization.

680434128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 196 counting only the distinct ones).

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

The square root of 680434128 is about 26085.1323170882. The cubic root of 680434128 is about 879.5530305896.

The spelling of 680434128 in words is "six hundred eighty million, four hundred thirty-four thousand, one hundred twenty-eight".