61766656 has 66 divisors (see below), whose sum is σ = 143748528. Its totient is φ = 26449920.

The previous prime is 61766633. The next prime is 61766659. The reversal of 61766656 is 65666716.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61766659) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49561 + ... + 50791.

It is an arithmetic number, because the mean of its divisors is an integer number (2178008).

Almost surely, 2^61766656 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 61766656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71874264).

61766656 is an abundant number, since it is smaller than the sum of its proper divisors (81981872).

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

61766656 is a wasteful number, since it uses less digits than its factorization.

61766656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1240 counting only the distinct ones).

The product of its digits is 272160, while the sum is 43.

The square root of 61766656 is about 7859.1765471963. The cubic root of 61766656 is about 395.2920043460.

The spelling of 61766656 in words is "sixty-one million, seven hundred sixty-six thousand, six hundred fifty-six".