65632320 has 168 divisors, whose sum is σ = 243251736. Its totient is φ = 16146432.

The previous prime is 65632297. The next prime is 65632337. The reversal of 65632320 is 2323656.

65632320 is a `hidden beast` number, since 6 + 5 + 632 + 3 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2143296 + 63489024 = 1464^2 + 7968^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36564 + ... + 38316.

It is an arithmetic number, because the mean of its divisors is an integer number (1447927).

Almost surely, 2^65632320 is an apocalyptic number.

65632320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121625868).

65632320 is an abundant number, since it is smaller than the sum of its proper divisors (177619416).

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

65632320 is a wasteful number, since it uses less digits than its factorization.

65632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 65632320 is about 8101.3776606204. The cubic root of 65632320 is about 403.3721581520.

Adding to 65632320 its reverse (2323656), we get a palindrome (67955976).

The spelling of 65632320 in words is "sixty-five million, six hundred thirty-two thousand, three hundred twenty".