56805680 has 80 divisors (see below), whose sum is σ = 136759104. Its totient is φ = 21934080.

The previous prime is 56805673. The next prime is 56805689. The reversal of 56805680 is 8650865.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (56805689) by changing a digit.

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, 414572 + ... + 414708.

Almost surely, 2^56805680 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 56805680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68379552).

56805680 is an abundant number, since it is smaller than the sum of its proper divisors (79953424).

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

56805680 is a wasteful number, since it uses less digits than its factorization.

56805680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 56805680 is about 7536.9542920201. The cubic root of 56805680 is about 384.4122814435.

The spelling of 56805680 in words is "fifty-six million, eight hundred five thousand, six hundred eighty".