56336000 has 128 divisors (see below), whose sum is σ = 160392960. Its totient is φ = 19276800.

The previous prime is 56335999. The next prime is 56336003. The reversal of 56336000 is 63365.

56336000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (56336003) 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, 111749 + ... + 112251.

It is an arithmetic number, because the mean of its divisors is an integer number (1253070).

Almost surely, 2^56336000 is an apocalyptic number.

56336000 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 56336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80196480).

56336000 is an abundant number, since it is smaller than the sum of its proper divisors (104056960).

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

56336000 is an equidigital number, since it uses as much as digits as its factorization.

56336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 23.

The square root of 56336000 is about 7505.7311435995. The cubic root of 56336000 is about 383.3498837635.

Adding to 56336000 its reverse (63365), we get a palindrome (56399365).

It can be divided in two parts, 563 and 36000, that added together give a palindrome (36563).

The spelling of 56336000 in words is "fifty-six million, three hundred thirty-six thousand".