684860400 has 240 divisors, whose sum is σ = 2786131200. Its totient is φ = 156522240.

The previous prime is 684860389. The next prime is 684860411. The reversal of 684860400 is 4068486.

684860400 is a `hidden beast` number, since 6 + 8 + 48 + 604 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (684860389) and next prime (684860411).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71071 + ... + 80129.

It is an arithmetic number, because the mean of its divisors is an integer number (11608880).

Almost surely, 2^684860400 is an apocalyptic number.

684860400 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 684860400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393065600).

684860400 is an abundant number, since it is smaller than the sum of its proper divisors (2101270800).

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

684860400 is a wasteful number, since it uses less digits than its factorization.

684860400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9093 (or 9076 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 684860400 is about 26169.8375998018. The cubic root of 684860400 is about 881.4560948487.

The spelling of 684860400 in words is "six hundred eighty-four million, eight hundred sixty thousand, four hundred".