680722056 has 320 divisors, whose sum is σ = 2319482880. Its totient is φ = 182424960.

The previous prime is 680722051. The next prime is 680722061. The reversal of 680722056 is 650227086.

It is an interprime number because it is at equal distance from previous prime (680722051) and next prime (680722061).

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

It is a self number, because there is not a number n which added to its sum of digits gives 680722056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680722051) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6608901 + ... + 6609003.

It is an arithmetic number, because the mean of its divisors is an integer number (7248384).

Almost surely, 2^680722056 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 680722056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159741440).

680722056 is an abundant number, since it is smaller than the sum of its proper divisors (1638760824).

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

680722056 is a wasteful number, since it uses less digits than its factorization.

680722056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 680722056 is about 26090.6507392974. The cubic root of 680722056 is about 879.6770750401.

The spelling of 680722056 in words is "six hundred eighty million, seven hundred twenty-two thousand, fifty-six".