56610120 has 128 divisors (see below), whose sum is σ = 204364800. Its totient is φ = 12254976.

The previous prime is 56610097. The next prime is 56610121. The reversal of 56610120 is 2101665.

It is a happy number.

56610120 is a nontrivial binomial coefficient, being equal to C(10641, 2).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (56610121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14187 + ... + 17733.

It is an arithmetic number, because the mean of its divisors is an integer number (1596600).

Almost surely, 2^56610120 is an apocalyptic number.

56610120 is the 10640-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56610120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102182400).

56610120 is an abundant number, since it is smaller than the sum of its proper divisors (147754680).

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

56610120 is a wasteful number, since it uses less digits than its factorization.

56610120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3587 (or 3583 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 56610120 is about 7523.9696969087. The cubic root of 56610120 is about 383.9706466278.

Adding to 56610120 its reverse (2101665), we get a palindrome (58711785).

The spelling of 56610120 in words is "fifty-six million, six hundred ten thousand, one hundred twenty".