56001360 has 80 divisors (see below), whose sum is σ = 182756160. Its totient is φ = 14146560.

The previous prime is 56001359. The next prime is 56001373. The reversal of 56001360 is 6310065.

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

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 15 ways as a sum of consecutive naturals, for example, 1581 + ... + 10700.

It is an arithmetic number, because the mean of its divisors is an integer number (2284452).

Almost surely, 2^56001360 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 56001360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91378080).

56001360 is an abundant number, since it is smaller than the sum of its proper divisors (126754800).

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

56001360 is a wasteful number, since it uses less digits than its factorization.

56001360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12316 (or 12310 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 56001360 is about 7483.4056418184. The cubic root of 56001360 is about 382.5893336561.

The spelling of 56001360 in words is "fifty-six million, one thousand, three hundred sixty".