683508672 has 336 divisors, whose sum is σ = 2529596160. Its totient is φ = 177154560.

The previous prime is 683508653. The next prime is 683508673. The reversal of 683508672 is 276805386.

683508672 is a `hidden beast` number, since 6 + 83 + 508 + 67 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683508673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1463383 + ... + 1463849.

It is an arithmetic number, because the mean of its divisors is an integer number (7528560).

Almost surely, 2^683508672 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 683508672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264798080).

683508672 is an abundant number, since it is smaller than the sum of its proper divisors (1846087488).

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

683508672 is a wasteful number, since it uses less digits than its factorization.

683508672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 683508672 is about 26143.9987760098. The cubic root of 683508672 is about 880.8757947679.

The spelling of 683508672 in words is "six hundred eighty-three million, five hundred eight thousand, six hundred seventy-two".