61056 has 48 divisors (see below), whose sum is σ = 179010. Its totient is φ = 19968.

The previous prime is 61051. The next prime is 61057. The reversal of 61056 is 65016.

61056 = T₁₉ + T₂₀ + ... + T₇₁.

61056 is a `hidden beast` number, since 610 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46656 + 14400 = 216^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (61051) by changing a digit.

61056 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1126 + ... + 1178.

2⁶¹⁰⁵⁶ 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 61056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89505).

61056 is an abundant number, since it is smaller than the sum of its proper divisors (117954).

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

61056 is a wasteful number, since it uses less digits than its factorization.

61056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 61056 is about 247.0951233837. The cubic root of 61056 is about 39.3770142583.

It can be divided in two parts, 610 and 56, that added together give a palindrome (666).

The spelling of 61056 in words is "sixty-one thousand, fifty-six".