56088576 has 144 divisors (see below), whose sum is σ = 172481400. Its totient is φ = 17498112.

The previous prime is 56088541. The next prime is 56088577. The reversal of 56088576 is 67588065.

Added to its reverse (67588065) it gives a square (123676641 = 11121²).

56088576 is a `hidden beast` number, since 560 + 8 + 85 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×56088576³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56088577) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 313255 + ... + 313433.

Almost surely, 2^56088576 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 56088576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86240700).

56088576 is an abundant number, since it is smaller than the sum of its proper divisors (116392824).

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

56088576 is a wasteful number, since it uses less digits than its factorization.

56088576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 56088576 is about 7489.2306680994. The cubic root of 56088576 is about 382.7878443351.

Adding to 56088576 its reverse (67588065), we get a square (123676641 = 11121²).

The spelling of 56088576 in words is "fifty-six million, eighty-eight thousand, five hundred seventy-six".