56541024 has 96 divisors (see below), whose sum is σ = 170311680. Its totient is φ = 18230400.

The previous prime is 56540987. The next prime is 56541029. The reversal of 56541024 is 42014565.

56541024 is a `hidden beast` number, since 5 + 654 + 1 + 0 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56541029) 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, 25729 + ... + 27839.

It is an arithmetic number, because the mean of its divisors is an integer number (1774080).

Almost surely, 2^56541024 is an apocalyptic number.

56541024 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56541024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85155840).

56541024 is an abundant number, since it is smaller than the sum of its proper divisors (113770656).

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

56541024 is a wasteful number, since it uses less digits than its factorization.

56541024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 56541024 is about 7519.3765699026. The cubic root of 56541024 is about 383.8143633974.

Adding to 56541024 its reverse (42014565), we get a palindrome (98555589).

The spelling of 56541024 in words is "fifty-six million, five hundred forty-one thousand, twenty-four".