65556144 has 60 divisors (see below), whose sum is σ = 184860936. Its totient is φ = 21686016.

The previous prime is 65556143. The next prime is 65556149. The reversal of 65556144 is 44165556.

65556144 is a `hidden beast` number, since 6 + 55 + 561 + 44 = 666.

65556144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×65556144² = 8595216032297472, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 65556099 and 65556108.

It is not an unprimeable number, because it can be changed into a prime (65556143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18067 + ... + 21389.

Almost surely, 2^65556144 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 65556144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92430468).

65556144 is an abundant number, since it is smaller than the sum of its proper divisors (119304792).

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

65556144 is a wasteful number, since it uses less digits than its factorization.

65556144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474 (or 3465 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 65556144 is about 8096.6748730575. The cubic root of 65556144 is about 403.2160400837.

The spelling of 65556144 in words is "sixty-five million, five hundred fifty-six thousand, one hundred forty-four".