682407936 has 384 divisors, whose sum is σ = 2421619200. Its totient is φ = 185794560.

The previous prime is 682407917. The next prime is 682407937. The reversal of 682407936 is 639704286.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×682407936² = 931361182231560192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 682407891 and 682407900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682407937) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15869931 + ... + 15869973.

It is an arithmetic number, because the mean of its divisors is an integer number (6306300).

Almost surely, 2^682407936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682407936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210809600).

682407936 is an abundant number, since it is smaller than the sum of its proper divisors (1739211264).

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

682407936 is a wasteful number, since it uses less digits than its factorization.

682407936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 682407936 is about 26122.9388852020. The cubic root of 682407936 is about 880.4026807223.

It can be divided in two parts, 68240 and 7936, that added together give a square (76176 = 276²).

The spelling of 682407936 in words is "six hundred eighty-two million, four hundred seven thousand, nine hundred thirty-six".