683928000 has 672 divisors, whose sum is σ = 2967045120. Its totient is φ = 146995200.

The previous prime is 683927989. The next prime is 683928001. The reversal of 683928000 is 829386.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683928001) 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 95 ways as a sum of consecutive naturals, for example, 11591971 + ... + 11592029.

Almost surely, 2^683928000 is an apocalyptic number.

683928000 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 683928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483522560).

683928000 is an abundant number, since it is smaller than the sum of its proper divisors (2283117120).

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

683928000 is a wasteful number, since it uses less digits than its factorization.

683928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 683928000 is about 26152.0171306154. The cubic root of 683928000 is about 881.0558950795.

The spelling of 683928000 in words is "six hundred eighty-three million, nine hundred twenty-eight thousand".