41968224 has 36 divisors (see below), whose sum is σ = 119347956. Its totient is φ = 13989312.

The previous prime is 41968219. The next prime is 41968229. The reversal of 41968224 is 42286914.

It is an interprime number because it is at equal distance from previous prime (41968219) and next prime (41968229).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×41968224² = 3522663651428352, 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 not an unprimeable number, because it can be changed into a prime (41968229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72574 + ... + 73149.

It is an arithmetic number, because the mean of its divisors is an integer number (3315221).

Almost surely, 2^41968224 is an apocalyptic number.

It is an amenable number.

41968224 is an abundant number, since it is smaller than the sum of its proper divisors (77379732).

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

41968224 is a wasteful number, since it uses less digits than its factorization.

41968224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145739 (or 145728 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 41968224 is about 6478.2886629109. The cubic root of 41968224 is about 347.5149802903.

The spelling of 41968224 in words is "forty-one million, nine hundred sixty-eight thousand, two hundred twenty-four".