683485920 has 288 divisors, whose sum is σ = 2600488800. Its totient is φ = 162312192.

The previous prime is 683485897. The next prime is 683485931. The reversal of 683485920 is 29584386.

683485920 is a `hidden beast` number, since 6 + 83 + 485 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 542251 + ... + 543509.

It is an arithmetic number, because the mean of its divisors is an integer number (9029475).

Almost surely, 2^683485920 is an apocalyptic number.

683485920 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 683485920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300244400).

683485920 is an abundant number, since it is smaller than the sum of its proper divisors (1917002880).

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

683485920 is a wasteful number, since it uses less digits than its factorization.

683485920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 683485920 is about 26143.5636438493. The cubic root of 683485920 is about 880.8660207351.

The spelling of 683485920 in words is "six hundred eighty-three million, four hundred eighty-five thousand, nine hundred twenty".