56646000 has 160 divisors (see below), whose sum is σ = 203112000. Its totient is φ = 15091200.

The previous prime is 56645999. The next prime is 56646013. The reversal of 56646000 is 64665.

56646000 is a `hidden beast` number, since 56 + 6 + 4 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53476 + ... + 54524.

It is an arithmetic number, because the mean of its divisors is an integer number (1269450).

Almost surely, 2^56646000 is an apocalyptic number.

56646000 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 56646000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101556000).

56646000 is an abundant number, since it is smaller than the sum of its proper divisors (146466000).

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

56646000 is a wasteful number, since it uses less digits than its factorization.

56646000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 56646000 is about 7526.3536988372. The cubic root of 56646000 is about 384.0517508378.

It can be divided in two parts, 5664 and 6000, that added together give a square (11664 = 108²).

The spelling of 56646000 in words is "fifty-six million, six hundred forty-six thousand".