56684000 has 96 divisors (see below), whose sum is σ = 143410176. Its totient is φ = 22003200.

The previous prime is 56683997. The next prime is 56684003. The reversal of 56684000 is 48665.

56684000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56683997) and next prime (56684003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56684003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 147809 + ... + 148191.

It is an arithmetic number, because the mean of its divisors is an integer number (1493856).

Almost surely, 2^56684000 is an apocalyptic number.

56684000 is a gapful number since it is divisible by the number (50) 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 56684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71705088).

56684000 is an abundant number, since it is smaller than the sum of its proper divisors (86726176).

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

56684000 is a wasteful number, since it uses less digits than its factorization.

56684000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 56684000 is about 7528.8777384149. The cubic root of 56684000 is about 384.1376098239.

The spelling of 56684000 in words is "fifty-six million, six hundred eighty-four thousand".