467616 has 24 divisors (see below), whose sum is σ = 1227744. Its totient is φ = 155840.

The previous prime is 467611. The next prime is 467617. The reversal of 467616 is 616764.

467616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467611) by changing a digit.

467616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 2340 + ... + 2531.

It is an arithmetic number, because the mean of its divisors is an integer number (51156).

2⁴⁶⁷⁶¹⁶ is an apocalyptic number.

It is an amenable number.

467616 is an abundant number, since it is smaller than the sum of its proper divisors (760128).

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

467616 is a wasteful number, since it uses less digits than its factorization.

467616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4884 (or 4876 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 467616 is about 683.8245388987. The cubic root of 467616 is about 77.6181202592.

The spelling of 467616 in words is "four hundred sixty-seven thousand, six hundred sixteen".