682007040 has 800 divisors, whose sum is σ = 2994558336. Its totient is φ = 145981440.

The previous prime is 682007009. The next prime is 682007041. The reversal of 682007040 is 40700286.

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

It is a junction number, because it is equal to n+sod(n) for n = 682006995 and 682007013.

It is not an unprimeable number, because it can be changed into a prime (682007041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29652469 + ... + 29652491.

Almost surely, 2^682007040 is an apocalyptic number.

682007040 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 682007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497279168).

682007040 is an abundant number, since it is smaller than the sum of its proper divisors (2312551296).

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

682007040 is a wasteful number, since it uses less digits than its factorization.

682007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 682007040 is about 26115.2645018196. The cubic root of 682007040 is about 880.2302427844.

The spelling of 682007040 in words is "six hundred eighty-two million, seven thousand, forty".