684382020 has 288 divisors, whose sum is σ = 2413152000. Its totient is φ = 144055296.

The previous prime is 684382003. The next prime is 684382021. The reversal of 684382020 is 20283486.

It is not an unprimeable number, because it can be changed into a prime (684382021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1960806 + ... + 1961154.

It is an arithmetic number, because the mean of its divisors is an integer number (8379000).

Almost surely, 2^684382020 is an apocalyptic number.

684382020 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 684382020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206576000).

684382020 is an abundant number, since it is smaller than the sum of its proper divisors (1728769980).

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

684382020 is a wasteful number, since it uses less digits than its factorization.

684382020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 684382020 is about 26160.6960916563. The cubic root of 684382020 is about 881.2508125338.

The spelling of 684382020 in words is "six hundred eighty-four million, three hundred eighty-two thousand, twenty".