680564160 has 224 divisors, whose sum is σ = 2418405120. Its totient is φ = 180163584.

The previous prime is 680564153. The next prime is 680564167. The reversal of 680564160 is 61465086.

680564160 is a `hidden beast` number, since 6 + 8 + 0 + 5 + 641 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (680564153) and next prime (680564167).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680564167) 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, 1961107 + ... + 1961453.

Almost surely, 2^680564160 is an apocalyptic number.

680564160 is a gapful number since it is divisible by the number (60) 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 680564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209202560).

680564160 is an abundant number, since it is smaller than the sum of its proper divisors (1737840960).

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

680564160 is a wasteful number, since it uses less digits than its factorization.

680564160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 680564160 is about 26087.6246523136. The cubic root of 680564160 is about 879.6090549963.

The spelling of 680564160 in words is "six hundred eighty million, five hundred sixty-four thousand, one hundred sixty".