67648128 has 64 divisors (see below), whose sum is σ = 181396800. Its totient is φ = 22335488.

The previous prime is 67648123. The next prime is 67648153. The reversal of 67648128 is 82184676.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 67648128.

It is not an unprimeable number, because it can be changed into a prime (67648123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42613 + ... + 44171.

It is an arithmetic number, because the mean of its divisors is an integer number (2834325).

Almost surely, 2^67648128 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 67648128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90698400).

67648128 is an abundant number, since it is smaller than the sum of its proper divisors (113748672).

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

67648128 is a wasteful number, since it uses less digits than its factorization.

67648128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1677 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 67648128 is about 8224.8482052862. The cubic root of 67648128 is about 407.4602628521.

It can be divided in two parts, 67648 and 128, that added together give a palindrome (67776).

The spelling of 67648128 in words is "sixty-seven million, six hundred forty-eight thousand, one hundred twenty-eight".