56805120 has 108 divisors (see below), whose sum is σ = 196579656. Its totient is φ = 15144960.

The previous prime is 56805059. The next prime is 56805121. The reversal of 56805120 is 2150865.

56805120 = 43² + 44² + ... + 554².

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56805121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9055 + ... + 13985.

It is an arithmetic number, because the mean of its divisors is an integer number (1820182).

Almost surely, 2^56805120 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 56805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98289828).

56805120 is an abundant number, since it is smaller than the sum of its proper divisors (139774536).

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

56805120 is a wasteful number, since it uses less digits than its factorization.

56805120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4958 (or 4941 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 56805120 is about 7536.9171416435. The cubic root of 56805120 is about 384.4110182389.

Adding to 56805120 its reverse (2150865), we get a palindrome (58955985).

The spelling of 56805120 in words is "fifty-six million, eight hundred five thousand, one hundred twenty".