682768560 has 80 divisors (see below), whose sum is σ = 2143434240. Its totient is φ = 179761920.

The previous prime is 682768519. The next prime is 682768571. The reversal of 682768560 is 65867286.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×682768560³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 955 + ... + 36965.

It is an arithmetic number, because the mean of its divisors is an integer number (26792928).

Almost surely, 2^682768560 is an apocalyptic number.

682768560 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 682768560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071717120).

682768560 is an abundant number, since it is smaller than the sum of its proper divisors (1460665680).

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

682768560 is a wasteful number, since it uses less digits than its factorization.

682768560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36106 (or 36100 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 682768560 is about 26129.8404128307. The cubic root of 682768560 is about 880.5577387204.

The spelling of 682768560 in words is "six hundred eighty-two million, seven hundred sixty-eight thousand, five hundred sixty".