65506496 has 56 divisors (see below), whose sum is σ = 143164560. Its totient is φ = 29736960.

The previous prime is 65506489. The next prime is 65506499. The reversal of 65506496 is 69460556.

65506496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×65506496² = 8582202036396032, which contains 22 as substring.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (65506499) 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 7 ways as a sum of consecutive naturals, for example, 84800 + ... + 85568.

It is an arithmetic number, because the mean of its divisors is an integer number (2556510).

Almost surely, 2^65506496 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 65506496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71582280).

65506496 is an abundant number, since it is smaller than the sum of its proper divisors (77658064).

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

65506496 is an equidigital number, since it uses as much as digits as its factorization.

65506496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The square root of 65506496 is about 8093.6083423897. The cubic root of 65506496 is about 403.1142244260.

The spelling of 65506496 in words is "sixty-five million, five hundred six thousand, four hundred ninety-six".