680414112 has 288 divisors, whose sum is σ = 2324754432. Its totient is φ = 184730112.

The previous prime is 680414099. The next prime is 680414143. The reversal of 680414112 is 211414086.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4074253 + ... + 4074419.

It is an arithmetic number, because the mean of its divisors is an integer number (8072064).

Almost surely, 2^680414112 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 680414112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162377216).

680414112 is an abundant number, since it is smaller than the sum of its proper divisors (1644340320).

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

680414112 is a wasteful number, since it uses less digits than its factorization.

680414112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 680414112 is about 26084.7486474376. The cubic root of 680414112 is about 879.5444060437.

Adding to 680414112 its reverse (211414086), we get a palindrome (891828198).

The spelling of 680414112 in words is "six hundred eighty million, four hundred fourteen thousand, one hundred twelve".