67440000 has 160 divisors (see below), whose sum is σ = 224646840. Its totient is φ = 17920000.

The previous prime is 67439959. The next prime is 67440001. The reversal of 67440000 is 4476.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67440001) 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 19 ways as a sum of consecutive naturals, for example, 239860 + ... + 240140.

Almost surely, 2^67440000 is an apocalyptic number.

67440000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112323420).

67440000 is an abundant number, since it is smaller than the sum of its proper divisors (157206840).

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

67440000 is an equidigital number, since it uses as much as digits as its factorization.

67440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 67440000 is about 8212.1860670591. The cubic root of 67440000 is about 407.0419659432.

Adding to 67440000 its reverse (4476), we get a palindrome (67444476).

The spelling of 67440000 in words is "sixty-seven million, four hundred forty thousand".