680270448 has 320 divisors, whose sum is σ = 2239856640. Its totient is φ = 174873600.

The previous prime is 680270441. The next prime is 680270537. The reversal of 680270448 is 844072086.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680270441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4893963 + ... + 4894101.

It is an arithmetic number, because the mean of its divisors is an integer number (6999552).

Almost surely, 2^680270448 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 680270448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119928320).

680270448 is an abundant number, since it is smaller than the sum of its proper divisors (1559586192).

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

680270448 is a wasteful number, since it uses less digits than its factorization.

680270448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 680270448 is about 26081.9947089942. The cubic root of 680270448 is about 879.4824987632.

The spelling of 680270448 in words is "six hundred eighty million, two hundred seventy thousand, four hundred forty-eight".