56611060 has 72 divisors (see below), whose sum is σ = 132388200. Its totient is φ = 20317440.

The previous prime is 56611057. The next prime is 56611067. The reversal of 56611060 is 6011665.

It can be written as a sum of positive squares in 4 ways, for example, as 484 + 56610576 = 22^2 + 7524^2 .

It is a super-2 number, since 2×56611060² = 6409624228647200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56611067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360502 + ... + 360658.

It is an arithmetic number, because the mean of its divisors is an integer number (1838725).

Almost surely, 2^56611060 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 56611060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66194100).

56611060 is an abundant number, since it is smaller than the sum of its proper divisors (75777140).

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

56611060 is a wasteful number, since it uses less digits than its factorization.

56611060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 56611060 is about 7524.0321636739. The cubic root of 56611060 is about 383.9727718686.

It can be divided in two parts, 56 and 611060, that added together give a palindrome (611116).

The spelling of 56611060 in words is "fifty-six million, six hundred eleven thousand, sixty".