56715120 has 480 divisors, whose sum is σ = 253317120. Its totient is φ = 11404800.

The previous prime is 56715091. The next prime is 56715121. The reversal of 56715120 is 2151765.

56715120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×56715120² = 6433209673228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56715121) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1829505 + ... + 1829535.

It is an arithmetic number, because the mean of its divisors is an integer number (527744).

Almost surely, 2^56715120 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 56715120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126658560).

56715120 is an abundant number, since it is smaller than the sum of its proper divisors (196602000).

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

56715120 is a wasteful number, since it uses less digits than its factorization.

56715120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 56715120 is about 7530.9441639146. The cubic root of 56715120 is about 384.2078952390.

Adding to 56715120 its reverse (2151765), we get a palindrome (58866885).

The spelling of 56715120 in words is "fifty-six million, seven hundred fifteen thousand, one hundred twenty".