67242824 has 64 divisors (see below), whose sum is σ = 146361600. Its totient is φ = 28641600.

The previous prime is 67242811. The next prime is 67242827. The reversal of 67242824 is 42824276.

67242824 = 460² + 461² + ... + 668².

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (67242827) 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 15 ways as a sum of consecutive naturals, for example, 218879 + ... + 219185.

It is an arithmetic number, because the mean of its divisors is an integer number (2286900).

Almost surely, 2^67242824 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 67242824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73180800).

67242824 is an abundant number, since it is smaller than the sum of its proper divisors (79118776).

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

67242824 is a wasteful number, since it uses less digits than its factorization.

67242824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 470 counting only the distinct ones).

The product of its digits is 43008, while the sum is 35.

The square root of 67242824 is about 8200.1721933140. The cubic root of 67242824 is about 406.6448858113.

The spelling of 67242824 in words is "sixty-seven million, two hundred forty-two thousand, eight hundred twenty-four".