67382016 has 144 divisors (see below), whose sum is σ = 205005024. Its totient is φ = 19464192.

The previous prime is 67381991. The next prime is 67382047. The reversal of 67382016 is 61028376.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169530 + ... + 169926.

It is an arithmetic number, because the mean of its divisors is an integer number (1423646).

Almost surely, 2^67382016 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 67382016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102502512).

67382016 is an abundant number, since it is smaller than the sum of its proper divisors (137623008).

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

67382016 is a wasteful number, since it uses less digits than its factorization.

67382016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 67382016 is about 8208.6549446301. The cubic root of 67382016 is about 406.9252761014.

The spelling of 67382016 in words is "sixty-seven million, three hundred eighty-two thousand, sixteen".