56661120 has 160 divisors (see below), whose sum is σ = 202532220. Its totient is φ = 15095808.

The previous prime is 56661113. The next prime is 56661151. The reversal of 56661120 is 2116665.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 52881984 + 3779136 = 7272^2 + 1944^2 .

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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51294 + ... + 52386.

Almost surely, 2^56661120 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 56661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101266110).

56661120 is an abundant number, since it is smaller than the sum of its proper divisors (145871100).

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

56661120 is a wasteful number, since it uses less digits than its factorization.

56661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 56661120 is about 7527.3581022826. The cubic root of 56661120 is about 384.0859182747.

Adding to 56661120 its reverse (2116665), we get a palindrome (58777785).

It can be divided in two parts, 5666 and 1120, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 56661120 in words is "fifty-six million, six hundred sixty-one thousand, one hundred twenty".