65605248 has 128 divisors (see below), whose sum is σ = 198777600. Its totient is φ = 21288960.

The previous prime is 65605237. The next prime is 65605259. The reversal of 65605248 is 84250656.

65605248 is a `hidden beast` number, since 6 + 5 + 605 + 2 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (65605237) and next prime (65605259).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 141465 + ... + 141927.

It is an arithmetic number, because the mean of its divisors is an integer number (1552950).

Almost surely, 2^65605248 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 65605248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99388800).

65605248 is an abundant number, since it is smaller than the sum of its proper divisors (133172352).

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

65605248 is a wasteful number, since it uses less digits than its factorization.

65605248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 65605248 is about 8099.7066613551. The cubic root of 65605248 is about 403.3166895818.

It can be divided in two parts, 656052 and 48, that added together give a square (656100 = 810²).

The spelling of 65605248 in words is "sixty-five million, six hundred five thousand, two hundred forty-eight".