56541320 has 64 divisors (see below), whose sum is σ = 146966400. Its totient is φ = 19348480.

The previous prime is 56541319. The next prime is 56541389. The reversal of 56541320 is 2314565.

It is a self number, because there is not a number n which added to its sum of digits gives 56541320.

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 15 ways as a sum of consecutive naturals, for example, 3701 + ... + 11259.

It is an arithmetic number, because the mean of its divisors is an integer number (2296350).

Almost surely, 2^56541320 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 56541320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73483200).

56541320 is an abundant number, since it is smaller than the sum of its proper divisors (90425080).

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

56541320 is a wasteful number, since it uses less digits than its factorization.

56541320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7598 (or 7594 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 56541320 is about 7519.3962523596. The cubic root of 56541320 is about 383.8150331698.

Adding to 56541320 its reverse (2314565), we get a palindrome (58855885).

It can be divided in two parts, 56541 and 320, that multiplied together give a triangular number (18093120 = T₆₀₁₅).

The spelling of 56541320 in words is "fifty-six million, five hundred forty-one thousand, three hundred twenty".