65622656 has 96 divisors (see below), whose sum is σ = 151939200. Its totient is φ = 28131840.

The previous prime is 65622649. The next prime is 65622671.

65622656 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294161 + ... + 294383.

It is an arithmetic number, because the mean of its divisors is an integer number (1582700).

Almost surely, 2^65622656 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 65622656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75969600).

65622656 is an abundant number, since it is smaller than the sum of its proper divisors (86316544).

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

65622656 is a wasteful number, since it uses less digits than its factorization.

65622656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 255 counting only the distinct ones).

The product of its digits is 129600, while the sum is 38.

The square root of 65622656 is about 8100.7811968970. The cubic root of 65622656 is about 403.3523590658.

The spelling of 65622656 in words is "sixty-five million, six hundred twenty-two thousand, six hundred fifty-six".