67048128 has 224 divisors, whose sum is σ = 236037120. Its totient is φ = 18247680.

The previous prime is 67048123. The next prime is 67048129. The reversal of 67048128 is 82184076.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 67048092 and 67048101.

It is not an unprimeable number, because it can be changed into a prime (67048123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278088 + ... + 278328.

Almost surely, 2^67048128 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 67048128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118018560).

67048128 is an abundant number, since it is smaller than the sum of its proper divisors (168988992).

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

67048128 is a wasteful number, since it uses less digits than its factorization.

67048128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 67048128 is about 8188.2921296202. The cubic root of 67048128 is about 406.2520376071.

It can be divided in two parts, 67048 and 128, that added together give a palindrome (67176).

The spelling of 67048128 in words is "sixty-seven million, forty-eight thousand, one hundred twenty-eight".