467688 has 32 divisors (see below), whose sum is σ = 1260000. Its totient is φ = 143808.

The previous prime is 467681. The next prime is 467689. The reversal of 467688 is 886764.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 467688.

It is not an unprimeable number, because it can be changed into a prime (467681) by changing a digit.

467688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 438 + ... + 1061.

It is an arithmetic number, because the mean of its divisors is an integer number (39375).

2⁴⁶⁷⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

467688 is an abundant number, since it is smaller than the sum of its proper divisors (792312).

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

467688 is a wasteful number, since it uses less digits than its factorization.

467688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1517 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 467688 is about 683.8771819559. The cubic root of 467688 is about 77.6221037398.

The spelling of 467688 in words is "four hundred sixty-seven thousand, six hundred eighty-eight".