682629696 has 336 divisors, whose sum is σ = 2476341504. Its totient is φ = 175177728.

The previous prime is 682629683. The next prime is 682629707. The reversal of 682629696 is 696926286.

682629696 is a `hidden beast` number, since 6 + 8 + 2 + 629 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×682629696² = 931966603722104832, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1576296 + ... + 1576728.

It is an arithmetic number, because the mean of its divisors is an integer number (7370064).

Almost surely, 2^682629696 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 682629696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238170752).

682629696 is an abundant number, since it is smaller than the sum of its proper divisors (1793711808).

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

682629696 is a wasteful number, since it uses less digits than its factorization.

682629696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 485 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 682629696 is about 26127.1830858208. The cubic root of 682629696 is about 880.4980376407.

The spelling of 682629696 in words is "six hundred eighty-two million, six hundred twenty-nine thousand, six hundred ninety-six".