683168640 has 256 divisors, whose sum is σ = 2715517440. Its totient is φ = 141926400.

The previous prime is 683168627. The next prime is 683168653. The reversal of 683168640 is 46861386.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (683168627) and next prime (683168653).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 683168592 and 683168601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145530 + ... + 150150.

It is an arithmetic number, because the mean of its divisors is an integer number (10607490).

Almost surely, 2^683168640 is an apocalyptic number.

683168640 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 683168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357758720).

683168640 is an abundant number, since it is smaller than the sum of its proper divisors (2032348800).

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

683168640 is a wasteful number, since it uses less digits than its factorization.

683168640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4661 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 683168640 is about 26137.4949067427. The cubic root of 683168640 is about 880.7296977962.

The spelling of 683168640 in words is "six hundred eighty-three million, one hundred sixty-eight thousand, six hundred forty".