684000000 has 378 divisors, whose sum is σ = 2594888660. Its totient is φ = 172800000.

The previous prime is 683999983. The next prime is 684000043. The reversal of 684000000 is 486.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 35999991 + ... + 36000009.

Almost surely, 2^684000000 is an apocalyptic number.

684000000 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 684000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297444330).

684000000 is an abundant number, since it is smaller than the sum of its proper divisors (1910888660).

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

684000000 is an frugal number, since it uses more digits than its factorization.

684000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 684000000 is about 26153.3936612440. The cubic root of 684000000 is about 881.0868114910.

Adding to 684000000 its reverse (486), we get a palindrome (684000486).

The spelling of 684000000 in words is "six hundred eighty-four million", and thus it is an aban number.