65546496 has 180 divisors, whose sum is σ = 204042300. Its totient is φ = 20901888.

The previous prime is 65546483. The next prime is 65546497. The reversal of 65546496 is 69464556.

65546496 is a `hidden beast` number, since 6 + 554 + 6 + 4 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40144896 + 25401600 = 6336^2 + 5040^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65546497) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 601290 + ... + 601398.

Almost surely, 2^65546496 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 65546496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102021150).

65546496 is an abundant number, since it is smaller than the sum of its proper divisors (138495804).

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

65546496 is a wasteful number, since it uses less digits than its factorization.

65546496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 143 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 65546496 is about 8096.0790509975. The cubic root of 65546496 is about 403.1962584687.

The spelling of 65546496 in words is "sixty-five million, five hundred forty-six thousand, four hundred ninety-six".