56643840 has 288 divisors, whose sum is σ = 220752000. Its totient is φ = 13639680.

The previous prime is 56643823. The next prime is 56643841. The reversal of 56643840 is 4834665.

56643840 is a `hidden beast` number, since 5 + 6 + 643 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 56643795 and 56643804.

It is not an unprimeable number, because it can be changed into a prime (56643841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380086 + ... + 380234.

It is an arithmetic number, because the mean of its divisors is an integer number (766500).

Almost surely, 2^56643840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56643840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110376000).

56643840 is an abundant number, since it is smaller than the sum of its proper divisors (164108160).

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

56643840 is a wasteful number, since it uses less digits than its factorization.

56643840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 56643840 is about 7526.2102016885. The cubic root of 56643840 is about 384.0468692791.

The spelling of 56643840 in words is "fifty-six million, six hundred forty-three thousand, eight hundred forty".