56516544 has 168 divisors, whose sum is σ = 188293248. Its totient is φ = 15874560.

The previous prime is 56516533. The next prime is 56516549. The reversal of 56516544 is 44561565.

It is a tau number, because it is divible by the number of its divisors (168).

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

Its product of digits (72000) is a multiple of the sum of its prime divisors (250).

It is a junction number, because it is equal to n+sod(n) for n = 56516499 and 56516508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56516549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431359 + ... + 431489.

Almost surely, 2^56516544 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 56516544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94146624).

56516544 is an abundant number, since it is smaller than the sum of its proper divisors (131776704).

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

56516544 is a wasteful number, since it uses less digits than its factorization.

56516544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 250 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 56516544 is about 7517.7485991486. The cubic root of 56516544 is about 383.7589633163.

The spelling of 56516544 in words is "fifty-six million, five hundred sixteen thousand, five hundred forty-four".