65542320 has 240 divisors, whose sum is σ = 236190240. Its totient is φ = 16257024.

The previous prime is 65542289. The next prime is 65542331. The reversal of 65542320 is 2324556.

65542320 is a `hidden beast` number, since 655 + 4 + 2 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 897804 + ... + 897876.

It is an arithmetic number, because the mean of its divisors is an integer number (984126).

Almost surely, 2^65542320 is an apocalyptic number.

65542320 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 65542320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118095120).

65542320 is an abundant number, since it is smaller than the sum of its proper divisors (170647920).

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

65542320 is a wasteful number, since it uses less digits than its factorization.

65542320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 155 counting only the distinct ones).

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

The square root of 65542320 is about 8095.8211442694. The cubic root of 65542320 is about 403.1876956752.

Adding to 65542320 its reverse (2324556), we get a palindrome (67866876).

The spelling of 65542320 in words is "sixty-five million, five hundred forty-two thousand, three hundred twenty".