684883620 has 192 divisors, whose sum is σ = 2221793280. Its totient is φ = 174960000.

The previous prime is 684883613. The next prime is 684883631. The reversal of 684883620 is 26388486.

684883620 = 479² + 480² + ... + 1293².

It is a happy number.

684883620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2728495 + ... + 2728745.

It is an arithmetic number, because the mean of its divisors is an integer number (11571840).

Almost surely, 2^684883620 is an apocalyptic number.

684883620 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 684883620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110896640).

684883620 is an abundant number, since it is smaller than the sum of its proper divisors (1536909660).

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

684883620 is a wasteful number, since it uses less digits than its factorization.

684883620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 684883620 is about 26170.2812365477. The cubic root of 684883620 is about 881.4660565768.

The spelling of 684883620 in words is "six hundred eighty-four million, eight hundred eighty-three thousand, six hundred twenty".