67461680 has 80 divisors (see below), whose sum is σ = 184300704. Its totient is φ = 22640640.

The previous prime is 67461679. The next prime is 67461683. The reversal of 67461680 is 8616476.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (67461683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8492 + ... + 14388.

Almost surely, 2^67461680 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 67461680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92150352).

67461680 is an abundant number, since it is smaller than the sum of its proper divisors (116839024).

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

67461680 is a wasteful number, since it uses less digits than its factorization.

67461680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5934 (or 5928 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 67461680 is about 8213.5059505670. The cubic root of 67461680 is about 407.0855786575.

The spelling of 67461680 in words is "sixty-seven million, four hundred sixty-one thousand, six hundred eighty".