67942224 has 90 divisors (see below), whose sum is σ = 221210730. Its totient is φ = 19410048.

The previous prime is 67942201. The next prime is 67942261. The reversal of 67942224 is 42224976.

It can be written as a sum of positive squares in only one way, i.e., 67765824 + 176400 = 8232^2 + 420^2 .

It is a super-2 number, since 2×67942224² = 9232291604132352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2242 + ... + 11870.

It is an arithmetic number, because the mean of its divisors is an integer number (2457897).

Almost surely, 2^67942224 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 67942224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110605365).

67942224 is an abundant number, since it is smaller than the sum of its proper divisors (153268506).

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

67942224 is a wasteful number, since it uses less digits than its factorization.

67942224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9657 (or 9641 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 67942224 is about 8242.7073222334. The cubic root of 67942224 is about 408.0498785618.

The spelling of 67942224 in words is "sixty-seven million, nine hundred forty-two thousand, two hundred twenty-four".