56584080 has 240 divisors, whose sum is σ = 221295360. Its totient is φ = 12690432.

The previous prime is 56584069. The next prime is 56584103. The reversal of 56584080 is 8048565.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519066 + ... + 519174.

It is an arithmetic number, because the mean of its divisors is an integer number (922064).

Almost surely, 2^56584080 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 56584080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110647680).

56584080 is an abundant number, since it is smaller than the sum of its proper divisors (164711280).

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

56584080 is a wasteful number, since it uses less digits than its factorization.

56584080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 56584080 is about 7522.2390283745. The cubic root of 56584080 is about 383.9117635805.

The spelling of 56584080 in words is "fifty-six million, five hundred eighty-four thousand, eighty".