65677248 has 252 divisors, whose sum is σ = 237149640. Its totient is φ = 17224704.

The previous prime is 65677247. The next prime is 65677253. The reversal of 65677248 is 84277656.

65677248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (252).

Its product of digits (564480) is a multiple of the sum of its prime factors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65677247) 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 35 ways as a sum of consecutive naturals, for example, 366823 + ... + 367001.

It is an arithmetic number, because the mean of its divisors is an integer number (941070).

Almost surely, 2^65677248 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 65677248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118574820).

65677248 is an abundant number, since it is smaller than the sum of its proper divisors (171472392).

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

65677248 is a wasteful number, since it uses less digits than its factorization.

65677248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 204 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 65677248 is about 8104.1500479693. The cubic root of 65677248 is about 403.4641787228.

The spelling of 65677248 in words is "sixty-five million, six hundred seventy-seven thousand, two hundred forty-eight".