67642384 has 40 divisors (see below), whose sum is σ = 137502360. Its totient is φ = 32191488.

The previous prime is 67642381. The next prime is 67642387. The reversal of 67642384 is 48324676.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (67642381) and next prime (67642387).

It can be written as a sum of positive squares in 4 ways, for example, as 1056784 + 66585600 = 1028^2 + 8160^2 .

It is a super-2 number, since 2×67642384² = 9150984226406912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67642381) 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 7 ways as a sum of consecutive naturals, for example, 32874 + ... + 34870.

It is an arithmetic number, because the mean of its divisors is an integer number (3437559).

Almost surely, 2^67642384 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 67642384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68751180).

67642384 is an abundant number, since it is smaller than the sum of its proper divisors (69859976).

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

67642384 is a wasteful number, since it uses less digits than its factorization.

67642384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2101 counting only the distinct ones).

The product of its digits is 193536, while the sum is 40.

The square root of 67642384 is about 8224.4990120979. The cubic root of 67642384 is about 407.4487300471.

The spelling of 67642384 in words is "sixty-seven million, six hundred forty-two thousand, three hundred eighty-four".