56545264 has 40 divisors (see below), whose sum is σ = 116510400. Its totient is φ = 26492928.

The previous prime is 56545259. The next prime is 56545267. The reversal of 56545264 is 46254565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56545267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121897 + ... + 122359.

It is an arithmetic number, because the mean of its divisors is an integer number (2912760).

Almost surely, 2^56545264 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 56545264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58255200).

56545264 is an abundant number, since it is smaller than the sum of its proper divisors (59965136).

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

56545264 is a wasteful number, since it uses less digits than its factorization.

56545264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 931 counting only the distinct ones).

The product of its digits is 144000, while the sum is 37.

The square root of 56545264 is about 7519.6585028843. The cubic root of 56545264 is about 383.8239572115.

It can be divided in two parts, 565452 and 64, that added together give a triangular number (565516 = T₁₀₆₃).

The spelling of 56545264 in words is "fifty-six million, five hundred forty-five thousand, two hundred sixty-four".