56682080 has 192 divisors, whose sum is σ = 175271040. Its totient is φ = 16809984.

The previous prime is 56682077. The next prime is 56682107. The reversal of 56682080 is 8028665.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 56682080.

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, 247406 + ... + 247634.

It is an arithmetic number, because the mean of its divisors is an integer number (912870).

Almost surely, 2^56682080 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 56682080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87635520).

56682080 is an abundant number, since it is smaller than the sum of its proper divisors (118588960).

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

56682080 is a wasteful number, since it uses less digits than its factorization.

56682080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 56682080 is about 7528.7502282915. The cubic root of 56682080 is about 384.1332726063.

The spelling of 56682080 in words is "fifty-six million, six hundred eighty-two thousand, eighty".