680427216 has 240 divisors, whose sum is σ = 2357182464. Its totient is φ = 185784192.

The previous prime is 680427199. The next prime is 680427229. The reversal of 680427216 is 612724086.

680427216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 625425 + ... + 626511.

Almost surely, 2^680427216 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 680427216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178591232).

680427216 is an abundant number, since it is smaller than the sum of its proper divisors (1676755248).

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

680427216 is a wasteful number, since it uses less digits than its factorization.

680427216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 680427216 is about 26084.9998274871. Note that the first 3 decimals coincide. The cubic root of 680427216 is about 879.5500523483.

It can be divided in two parts, 6804 and 27216, that multiplied together give a square (185177664 = 13608²).

The spelling of 680427216 in words is "six hundred eighty million, four hundred twenty-seven thousand, two hundred sixteen".