683655840 has 216 divisors, whose sum is σ = 2714149620. Its totient is φ = 156248064.

The previous prime is 683655827. The next prime is 683655871. The reversal of 683655840 is 48556386.

683655840 is a `hidden beast` number, since 6 + 8 + 3 + 65 + 584 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 682463376 + 1192464 = 26124^2 + 1092^2 .

It is a super-2 number, since 2×683655840² = 934770615132211200, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 65716 + ... + 75404.

Almost surely, 2^683655840 is an apocalyptic number.

683655840 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 683655840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357074810).

683655840 is an abundant number, since it is smaller than the sum of its proper divisors (2030493780).

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

683655840 is a wasteful number, since it uses less digits than its factorization.

683655840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9724 (or 9706 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 683655840 is about 26146.8131901385. The cubic root of 683655840 is about 880.9390114376.

The spelling of 683655840 in words is "six hundred eighty-three million, six hundred fifty-five thousand, eight hundred forty".