61656 has 32 divisors (see below), whose sum is σ = 176640. Its totient is φ = 17568.

The previous prime is 61651. The next prime is 61657. The reversal of 61656 is 65616.

61656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61651) by changing a digit.

61656 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16 + ... + 351.

It is an arithmetic number, because the mean of its divisors is an integer number (5520).

2⁶¹⁶⁵⁶ 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 61656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88320).

61656 is an abundant number, since it is smaller than the sum of its proper divisors (114984).

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

61656 is a wasteful number, since it uses less digits than its factorization.

61656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 379 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 61656 is about 248.3062625066. The cubic root of 61656 is about 39.5055805820.

It can be divided in two parts, 61 and 656, that added together give a palindrome (717).

The spelling of 61656 in words is "sixty-one thousand, six hundred fifty-six".