56083680 has 288 divisors, whose sum is σ = 212284800. Its totient is φ = 13418496.

The previous prime is 56083673. The next prime is 56083711. The reversal of 56083680 is 8638065.

56083680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 709881 + ... + 709959.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 2^56083680 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 56083680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106142400).

56083680 is an abundant number, since it is smaller than the sum of its proper divisors (156201120).

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

56083680 is a wasteful number, since it uses less digits than its factorization.

56083680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 56083680 is about 7488.9037916106. The cubic root of 56083680 is about 382.7767060966.

The spelling of 56083680 in words is "fifty-six million, eighty-three thousand, six hundred eighty".