65412144 has 160 divisors (see below), whose sum is σ = 217763840. Its totient is φ = 18413568.

The previous prime is 65412121. The next prime is 65412163. The reversal of 65412144 is 44121456.

65412144 is a `hidden beast` number, since 654 + 1 + 2 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293217 + ... + 293439.

It is an arithmetic number, because the mean of its divisors is an integer number (1361024).

Almost surely, 2^65412144 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 65412144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108881920).

65412144 is an abundant number, since it is smaller than the sum of its proper divisors (152351696).

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

65412144 is a wasteful number, since it uses less digits than its factorization.

65412144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 332 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 65412144 is about 8087.7774450092. Note that the first 3 decimals coincide. The cubic root of 65412144 is about 402.9205901492.

It can be divided in two parts, 65412 and 144, that added together give a palindrome (65556).

The spelling of 65412144 in words is "sixty-five million, four hundred twelve thousand, one hundred forty-four".