65524032 has 112 divisors (see below), whose sum is σ = 220187520. Its totient is φ = 18717696.

The previous prime is 65524031. The next prime is 65524061. The reversal of 65524032 is 23042556.

65524032 is a `hidden beast` number, since 655 + 2 + 4 + 0 + 3 + 2 = 666.

65524032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a junction number, because it is equal to n+sod(n) for n = 65523987 and 65524005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65524031) 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 15 ways as a sum of consecutive naturals, for example, 9388 + ... + 14804.

It is an arithmetic number, because the mean of its divisors is an integer number (1965960).

Almost surely, 2^65524032 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 65524032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110093760).

65524032 is an abundant number, since it is smaller than the sum of its proper divisors (154663488).

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

65524032 is a wasteful number, since it uses less digits than its factorization.

65524032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5445 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 65524032 is about 8094.6915938781. The cubic root of 65524032 is about 403.1501922601.

Adding to 65524032 its reverse (23042556), we get a palindrome (88566588).

The spelling of 65524032 in words is "sixty-five million, five hundred twenty-four thousand, thirty-two".