67461120 has 224 divisors, whose sum is σ = 243779040. Its totient is φ = 17694720.

The previous prime is 67461089. The next prime is 67461127. The reversal of 67461120 is 2116476.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67461127) by changing a digit.

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, 1105890 + ... + 1105950.

Almost surely, 2^67461120 is an apocalyptic number.

67461120 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 67461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121889520).

67461120 is an abundant number, since it is smaller than the sum of its proper divisors (176317920).

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

67461120 is an equidigital number, since it uses as much as digits as its factorization.

67461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 67461120 is about 8213.4718603037. The cubic root of 67461120 is about 407.0844522474.

Adding to 67461120 its reverse (2116476), we get a palindrome (69577596).

The spelling of 67461120 in words is "sixty-seven million, four hundred sixty-one thousand, one hundred twenty".