65144832 has 96 divisors (see below), whose sum is σ = 181621440. Its totient is φ = 20725760.

The previous prime is 65144797. The next prime is 65144851. The reversal of 65144832 is 23844156.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 65144793 and 65144802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141082 + ... + 141542.

It is an arithmetic number, because the mean of its divisors is an integer number (1891890).

Almost surely, 2^65144832 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 65144832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90810720).

65144832 is an abundant number, since it is smaller than the sum of its proper divisors (116476608).

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

65144832 is a wasteful number, since it uses less digits than its factorization.

65144832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 489 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 65144832 is about 8071.2348497612. The cubic root of 65144832 is about 402.3709849743.

Adding to 65144832 its reverse (23844156), we get a palindrome (88988988).

The spelling of 65144832 in words is "sixty-five million, one hundred forty-four thousand, eight hundred thirty-two".