65461032 has 192 divisors, whose sum is σ = 222593280. Its totient is φ = 16920576.

The previous prime is 65461009. The next prime is 65461037. The reversal of 65461032 is 23016456.

65461032 is a `hidden beast` number, since 654 + 6 + 1 + 0 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 65460987 and 65461005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65461037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 635493 + ... + 635595.

It is an arithmetic number, because the mean of its divisors is an integer number (1159340).

Almost surely, 2^65461032 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 65461032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111296640).

65461032 is an abundant number, since it is smaller than the sum of its proper divisors (157132248).

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

65461032 is a wasteful number, since it uses less digits than its factorization.

65461032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 65461032 is about 8090.7992188658. The cubic root of 65461032 is about 403.0209439741.

Adding to 65461032 its reverse (23016456), we get a palindrome (88477488).

The spelling of 65461032 in words is "sixty-five million, four hundred sixty-one thousand, thirty-two".