680470560 has 864 divisors, whose sum is σ = 3235220352. Its totient is φ = 126074880.

The previous prime is 680470537. The next prime is 680470591. The reversal of 680470560 is 65074086.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35814231 + ... + 35814249.

It is an arithmetic number, because the mean of its divisors is an integer number (3744468).

Almost surely, 2^680470560 is an apocalyptic number.

680470560 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 680470560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617610176).

680470560 is an abundant number, since it is smaller than the sum of its proper divisors (2554749792).

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

680470560 is a wasteful number, since it uses less digits than its factorization.

680470560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 64 counting only the distinct ones).

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

The square root of 680470560 is about 26085.8306365736. The cubic root of 680470560 is about 879.5687280700.

The spelling of 680470560 in words is "six hundred eighty million, four hundred seventy thousand, five hundred sixty".