682560000 has 400 divisors, whose sum is σ = 2556681600. Its totient is φ = 179712000.

The previous prime is 682559993. The next prime is 682560007. The reversal of 682560000 is 65286.

It is an interprime number because it is at equal distance from previous prime (682559993) and next prime (682560007).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (682560007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8639961 + ... + 8640039.

It is an arithmetic number, because the mean of its divisors is an integer number (6391704).

Almost surely, 2^682560000 is an apocalyptic number.

682560000 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 682560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278340800).

682560000 is an abundant number, since it is smaller than the sum of its proper divisors (1874121600).

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

682560000 is an frugal number, since it uses more digits than its factorization.

682560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 682560000 is about 26125.8492684927. The cubic root of 682560000 is about 880.4680705491.

The spelling of 682560000 in words is "six hundred eighty-two million, five hundred sixty thousand".