67641984 has 96 divisors (see below), whose sum is σ = 197627040. Its totient is φ = 22202880.

The previous prime is 67641983. The next prime is 67641989. The reversal of 67641984 is 48914676.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (67641983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81379 + ... + 82205.

It is an arithmetic number, because the mean of its divisors is an integer number (2058615).

Almost surely, 2^67641984 is an apocalyptic number.

67641984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67641984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98813520).

67641984 is an abundant number, since it is smaller than the sum of its proper divisors (129985056).

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

67641984 is a wasteful number, since it uses less digits than its factorization.

67641984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 903 counting only the distinct ones).

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

The square root of 67641984 is about 8224.4746944714. The cubic root of 67641984 is about 407.4479269027.

The spelling of 67641984 in words is "sixty-seven million, six hundred forty-one thousand, nine hundred eighty-four".