680128416 has 216 divisors, whose sum is σ = 2202503940. Its totient is φ = 198696960.

The previous prime is 680128403. The next prime is 680128441. The reversal of 680128416 is 614821086.

It can be written as a sum of positive squares in 2 ways, for example, as 676208016 + 3920400 = 26004^2 + 1980^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1010256 + ... + 1010928.

Almost surely, 2^680128416 is an apocalyptic number.

680128416 is a gapful number since it is divisible by the number (66) 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 680128416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101251970).

680128416 is an abundant number, since it is smaller than the sum of its proper divisors (1522375524).

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

680128416 is a wasteful number, since it uses less digits than its factorization.

680128416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 680128416 is about 26079.2717689739. The cubic root of 680128416 is about 879.4212861709.

The spelling of 680128416 in words is "six hundred eighty million, one hundred twenty-eight thousand, four hundred sixteen".