56761056 has 288 divisors, whose sum is σ = 198132480. Its totient is φ = 15206400.

The previous prime is 56760973. The next prime is 56761063. The reversal of 56761056 is 65016765.

It is a happy number.

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 an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 56761056.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1384396 + ... + 1384436.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 2^56761056 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 56761056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

56761056 is an abundant number, since it is smaller than the sum of its proper divisors (141371424).

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

56761056 is a wasteful number, since it uses less digits than its factorization.

56761056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 56761056 is about 7533.9933634162. The cubic root of 56761056 is about 384.3115960459.

The spelling of 56761056 in words is "fifty-six million, seven hundred sixty-one thousand, fifty-six".