684754560 has 768 divisors, whose sum is σ = 3047466240. Its totient is φ = 143327232.

The previous prime is 684754549. The next prime is 684754573. The reversal of 684754560 is 65457486.

684754560 is a `hidden beast` number, since 6 + 8 + 47 + 545 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18506862 + ... + 18506898.

It is an arithmetic number, because the mean of its divisors is an integer number (3968055).

Almost surely, 2^684754560 is an apocalyptic number.

684754560 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 684754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523733120).

684754560 is an abundant number, since it is smaller than the sum of its proper divisors (2362711680).

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

684754560 is a wasteful number, since it uses less digits than its factorization.

684754560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 684754560 is about 26167.8153463372. The cubic root of 684754560 is about 881.4106850497.

The spelling of 684754560 in words is "six hundred eighty-four million, seven hundred fifty-four thousand, five hundred sixty".