684069120 has 432 divisors, whose sum is σ = 2869776000. Its totient is φ = 146866176.

The previous prime is 684069119. The next prime is 684069121. The reversal of 684069120 is 21960486.

It is an interprime number because it is at equal distance from previous prime (684069119) and next prime (684069121).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (684069121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1370631 + ... + 1371129.

It is an arithmetic number, because the mean of its divisors is an integer number (6643000).

Almost surely, 2^684069120 is an apocalyptic number.

684069120 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 684069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434888000).

684069120 is an abundant number, since it is smaller than the sum of its proper divisors (2185706880).

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

684069120 is a wasteful number, since it uses less digits than its factorization.

684069120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 684069120 is about 26154.7150624892. The cubic root of 684069120 is about 881.1164892050.

The spelling of 684069120 in words is "six hundred eighty-four million, sixty-nine thousand, one hundred twenty".