56616120 has 288 divisors, whose sum is σ = 220119120. Its totient is φ = 12472320.

The previous prime is 56616101. The next prime is 56616127. The reversal of 56616120 is 2161665.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56616127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1952266 + ... + 1952294.

Almost surely, 2^56616120 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 56616120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110059560).

56616120 is an abundant number, since it is smaller than the sum of its proper divisors (163503000).

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

56616120 is a wasteful number, since it uses less digits than its factorization.

56616120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 67 counting only the distinct ones).

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

The square root of 56616120 is about 7524.3684120330. The cubic root of 56616120 is about 383.9842115904.

Adding to 56616120 its reverse (2161665), we get a palindrome (58777785).

It can be divided in two parts, 5661 and 6120, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 56616120 in words is "fifty-six million, six hundred sixteen thousand, one hundred twenty".