684268800 has 216 divisors, whose sum is σ = 2282624736. Its totient is φ = 180510720.

The previous prime is 684268799. The next prime is 684268801. The reversal of 684268800 is 8862486.

It is an interprime number because it is at equal distance from previous prime (684268799) and next prime (684268801).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684268801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3014287 + ... + 3014513.

Almost surely, 2^684268800 is an apocalyptic number.

684268800 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 684268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141312368).

684268800 is an abundant number, since it is smaller than the sum of its proper divisors (1598355936).

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

684268800 is a wasteful number, since it uses less digits than its factorization.

684268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 684268800 is about 26158.5320689063. The cubic root of 684268800 is about 881.2022135951.

The spelling of 684268800 in words is "six hundred eighty-four million, two hundred sixty-eight thousand, eight hundred".