67149648 has 160 divisors (see below), whose sum is σ = 207427200. Its totient is φ = 20995200.

The previous prime is 67149647. The next prime is 67149653. The reversal of 67149648 is 84694176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67149647) 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, 664798 + ... + 664898.

It is an arithmetic number, because the mean of its divisors is an integer number (1296420).

Almost surely, 2^67149648 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 67149648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103713600).

67149648 is an abundant number, since it is smaller than the sum of its proper divisors (140277552).

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

67149648 is a wasteful number, since it uses less digits than its factorization.

67149648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 125 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 67149648 is about 8194.4888797289. The cubic root of 67149648 is about 406.4569745178.

The spelling of 67149648 in words is "sixty-seven million, one hundred forty-nine thousand, six hundred forty-eight".