67984160 has 48 divisors (see below), whose sum is σ = 163663416. Its totient is φ = 26677248.

The previous prime is 67984157. The next prime is 67984177. The reversal of 67984160 is 6148976.

It can be written as a sum of positive squares in 4 ways, for example, as 61653904 + 6330256 = 7852^2 + 2516^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4472 + ... + 12488.

Almost surely, 2^67984160 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 67984160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81831708).

67984160 is an abundant number, since it is smaller than the sum of its proper divisors (95679256).

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

67984160 is a wasteful number, since it uses less digits than its factorization.

67984160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8085 (or 8077 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 67984160 is about 8245.2507542221. The cubic root of 67984160 is about 408.1338148792.

The spelling of 67984160 in words is "sixty-seven million, nine hundred eighty-four thousand, one hundred sixty".