684028800 has 960 divisors, whose sum is σ = 3213856800. Its totient is φ = 139345920.

The previous prime is 684028799. The next prime is 684028801. The reversal of 684028800 is 8820486.

It is an interprime number because it is at equal distance from previous prime (684028799) and next prime (684028801).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684028801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23587186 + ... + 23587214.

Almost surely, 2^684028800 is an apocalyptic number.

684028800 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 684028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606928400).

684028800 is an abundant number, since it is smaller than the sum of its proper divisors (2529828000).

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

684028800 is a wasteful number, since it uses less digits than its factorization.

684028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 684028800 is about 26153.9442532097. The cubic root of 684028800 is about 881.0991774482.

The spelling of 684028800 in words is "six hundred eighty-four million, twenty-eight thousand, eight hundred".