67065648 has 80 divisors (see below), whose sum is σ = 192654336. Its totient is φ = 19964160.

The previous prime is 67065643. The next prime is 67065653. The reversal of 67065648 is 84656076.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (67065643) and next prime (67065653).

It is a super-3 number, since 3×67065648³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (67065641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17611 + ... + 21077.

Almost surely, 2^67065648 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 67065648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96327168).

67065648 is an abundant number, since it is smaller than the sum of its proper divisors (125588688).

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

67065648 is a wasteful number, since it uses less digits than its factorization.

67065648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 67065648 is about 8189.3618799025. The cubic root of 67065648 is about 406.2874197326.

The spelling of 67065648 in words is "sixty-seven million, sixty-five thousand, six hundred forty-eight".