683521920 has 192 divisors, whose sum is σ = 2405894400. Its totient is φ = 178753536.

The previous prime is 683521919. The next prime is 683521921. The reversal of 683521920 is 29125386.

683521920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (683521919) and next prime (683521921).

It is a tau number, because it is divible by the number of its divisors (192).

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 (683521921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304161 + ... + 306399.

It is an arithmetic number, because the mean of its divisors is an integer number (12530700).

Almost surely, 2^683521920 is an apocalyptic number.

683521920 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 683521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202947200).

683521920 is an abundant number, since it is smaller than the sum of its proper divisors (1722372480).

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

683521920 is a wasteful number, since it uses less digits than its factorization.

683521920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 683521920 is about 26144.2521407670. The cubic root of 683521920 is about 880.8814858769.

The spelling of 683521920 in words is "six hundred eighty-three million, five hundred twenty-one thousand, nine hundred twenty".