67241000 has 64 divisors (see below), whose sum is σ = 165672000. Its totient is φ = 25473600.

The previous prime is 67240993. The next prime is 67241017. The reversal of 67241000 is 14276.

67241000 = 1058² + 1059² + ... + 1114².

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17231 + ... + 20769.

It is an arithmetic number, because the mean of its divisors is an integer number (2588625).

Almost surely, 2^67241000 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 67241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82836000).

67241000 is an abundant number, since it is smaller than the sum of its proper divisors (98431000).

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

67241000 is a wasteful number, since it uses less digits than its factorization.

67241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3579 (or 3565 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 67241000 is about 8200.0609753830. The cubic root of 67241000 is about 406.6412089531.

Adding to 67241000 its reverse (14276), we get a palindrome (67255276).

The spelling of 67241000 in words is "sixty-seven million, two hundred forty-one thousand".