65655656 has 64 divisors (see below), whose sum is σ = 138801600. Its totient is φ = 28864000.

The previous prime is 65655641. The next prime is 65655661.

65655656 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 650006 + ... + 650106.

It is an arithmetic number, because the mean of its divisors is an integer number (2168775).

Almost surely, 2^65655656 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 65655656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69400800).

65655656 is an abundant number, since it is smaller than the sum of its proper divisors (73145944).

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

65655656 is a wasteful number, since it uses less digits than its factorization.

65655656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 286 counting only the distinct ones).

The product of its digits is 810000, while the sum is 44.

The square root of 65655656 is about 8102.8177814881. The cubic root of 65655656 is about 403.4199596887.

It can be divided in two parts, 6565 and 5656, that added together give a palindrome (12221).

The spelling of 65655656 in words is "sixty-five million, six hundred fifty-five thousand, six hundred fifty-six".