56645120 has 160 divisors (see below), whose sum is σ = 162043200. Its totient is φ = 18579456.

The previous prime is 56645117. The next prime is 56645123. The reversal of 56645120 is 2154665.

It is an interprime number because it is at equal distance from previous prime (56645117) and next prime (56645123).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56645123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 519626 + ... + 519734.

It is an arithmetic number, because the mean of its divisors is an integer number (1012770).

Almost surely, 2^56645120 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 56645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81021600).

56645120 is an abundant number, since it is smaller than the sum of its proper divisors (105398080).

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

56645120 is a wasteful number, since it uses less digits than its factorization.

56645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 56645120 is about 7526.2952373661. The cubic root of 56645120 is about 384.0497620696.

Adding to 56645120 its reverse (2154665), we get a palindrome (58799785).

It can be divided in two parts, 56645 and 120, that added together give a palindrome (56765).

The spelling of 56645120 in words is "fifty-six million, six hundred forty-five thousand, one hundred twenty".