56071680 has 240 divisors, whose sum is σ = 209919600. Its totient is φ = 12730368.

The previous prime is 56071667. The next prime is 56071733. The reversal of 56071680 is 8617065.

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

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 23 ways as a sum of consecutive naturals, for example, 376246 + ... + 376394.

It is an arithmetic number, because the mean of its divisors is an integer number (874665).

Almost surely, 2^56071680 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 56071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104959800).

56071680 is an abundant number, since it is smaller than the sum of its proper divisors (153847920).

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

56071680 is a wasteful number, since it uses less digits than its factorization.

56071680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 56071680 is about 7488.1025634002. The cubic root of 56071680 is about 382.7494037505.

The spelling of 56071680 in words is "fifty-six million, seventy-one thousand, six hundred eighty".