56224080 has 240 divisors, whose sum is σ = 213557760. Its totient is φ = 13132800.

The previous prime is 56224073. The next prime is 56224087. The reversal of 56224080 is 8042265.

56224080 is a `hidden beast` number, since 562 + 24 + 0 + 80 = 666.

56224080 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 (56224073) and next prime (56224087).

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

It is a super-2 number, since 2×56224080² = 6322294343692800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56224087) 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 47 ways as a sum of consecutive naturals, for example, 245406 + ... + 245634.

It is an arithmetic number, because the mean of its divisors is an integer number (889824).

Almost surely, 2^56224080 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 56224080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106778880).

56224080 is an abundant number, since it is smaller than the sum of its proper divisors (157333680).

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

56224080 is a wasteful number, since it uses less digits than its factorization.

56224080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 56224080 is about 7498.2718008885. The cubic root of 56224080 is about 383.0958545903.

It can be divided in two parts, 562 and 24080, that added together give a palindrome (24642).

The spelling of 56224080 in words is "fifty-six million, two hundred twenty-four thousand, eighty".