56127760 has 80 divisors (see below), whose sum is σ = 145459440. Its totient is φ = 19998720.

The previous prime is 56127749. The next prime is 56127769. The reversal of 56127760 is 6772165.

It can be written as a sum of positive squares in 8 ways, for example, as 19501056 + 36626704 = 4416^2 + 6052^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56127769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29230 + ... + 31090.

It is an arithmetic number, because the mean of its divisors is an integer number (1818243).

Almost surely, 2^56127760 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 56127760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72729720).

56127760 is an abundant number, since it is smaller than the sum of its proper divisors (89331680).

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

56127760 is a wasteful number, since it uses less digits than its factorization.

56127760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 56127760 is about 7491.8462344071. The cubic root of 56127760 is about 382.8769632994.

The spelling of 56127760 in words is "fifty-six million, one hundred twenty-seven thousand, seven hundred sixty".