684342000 has 640 divisors, whose sum is σ = 2785536000. Its totient is φ = 159667200.

The previous prime is 684341993. The next prime is 684342007. The reversal of 684342000 is 243486.

It is an interprime number because it is at equal distance from previous prime (684341993) and next prime (684342007).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684342007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23597986 + ... + 23598014.

It is an arithmetic number, because the mean of its divisors is an integer number (4352400).

Almost surely, 2^684342000 is an apocalyptic number.

684342000 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 684342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392768000).

684342000 is an abundant number, since it is smaller than the sum of its proper divisors (2101194000).

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

684342000 is a wasteful number, since it uses less digits than its factorization.

684342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 684342000 is about 26159.9311925701. The cubic root of 684342000 is about 881.2336348251.

Adding to 684342000 its reverse (243486), we get a palindrome (684585486).

The spelling of 684342000 in words is "six hundred eighty-four million, three hundred forty-two thousand".