56058240 has 256 divisors, whose sum is σ = 211115520. Its totient is φ = 12386304.

The previous prime is 56058239. The next prime is 56058251. The reversal of 56058240 is 4285065.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 56058198 and 56058207.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 577872 + ... + 577968.

It is an arithmetic number, because the mean of its divisors is an integer number (824670).

Almost surely, 2^56058240 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 56058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105557760).

56058240 is an abundant number, since it is smaller than the sum of its proper divisors (155057280).

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

56058240 is a wasteful number, since it uses less digits than its factorization.

56058240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 56058240 is about 7487.2050860117. The cubic root of 56058240 is about 382.7188204980.

The spelling of 56058240 in words is "fifty-six million, fifty-eight thousand, two hundred forty".