56197120 has 128 divisors (see below), whose sum is σ = 157284000. Its totient is φ = 19267584.

The previous prime is 56197091. The next prime is 56197129. The reversal of 56197120 is 2179165.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56197129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8028157 + ... + 8028163.

Almost surely, 2^56197120 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 56197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78642000).

56197120 is an abundant number, since it is smaller than the sum of its proper divisors (101086880).

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

56197120 is an frugal number, since it uses more digits than its factorization.

56197120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 56197120 is about 7496.4738377453. The cubic root of 56197120 is about 383.0346120556.

The spelling of 56197120 in words is "fifty-six million, one hundred ninety-seven thousand, one hundred twenty".