56126560 has 72 divisors (see below), whose sum is σ = 154269360. Its totient is φ = 19240704.

The previous prime is 56126533. The next prime is 56126569. The reversal of 56126560 is 6562165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56126569) 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, 4261 + ... + 11419.

It is an arithmetic number, because the mean of its divisors is an integer number (2142630).

Almost surely, 2^56126560 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 56126560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77134680).

56126560 is an abundant number, since it is smaller than the sum of its proper divisors (98142800).

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

56126560 is a wasteful number, since it uses less digits than its factorization.

56126560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7188 (or 7173 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 56126560 is about 7491.7661469109. The cubic root of 56126560 is about 382.8742346696.

The spelling of 56126560 in words is "fifty-six million, one hundred twenty-six thousand, five hundred sixty".