64165248 has 192 divisors, whose sum is σ = 215872800. Its totient is φ = 17915904.

The previous prime is 64165247. The next prime is 64165271. The reversal of 64165248 is 84256146.

64165248 is a `hidden beast` number, since 641 + 6 + 5 + 2 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64165247) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 588618 + ... + 588726.

Almost surely, 2^64165248 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 64165248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107936400).

64165248 is an abundant number, since it is smaller than the sum of its proper divisors (151707552).

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

64165248 is a wasteful number, since it uses less digits than its factorization.

64165248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 194 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 64165248 is about 8010.3213418689. The cubic root of 64165248 is about 400.3439707921.

It can be divided in two parts, 6416 and 5248, that added together give a square (11664 = 108²).

The spelling of 64165248 in words is "sixty-four million, one hundred sixty-five thousand, two hundred forty-eight".