684940800 has 120 divisors (see below), whose sum is σ = 2262785976. Its totient is φ = 182640640.

The previous prime is 684940787. The next prime is 684940801. The reversal of 684940800 is 8049486.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684940801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29482 + ... + 47318.

Almost surely, 2^684940800 is an apocalyptic number.

684940800 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 684940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131392988).

684940800 is an abundant number, since it is smaller than the sum of its proper divisors (1577845176).

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

684940800 is a wasteful number, since it uses less digits than its factorization.

684940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17868 (or 17847 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 684940800 is about 26171.3736743030. The cubic root of 684940800 is about 881.4905866940.

The spelling of 684940800 in words is "six hundred eighty-four million, nine hundred forty thousand, eight hundred".