83468 has 24 divisors (see below), whose sum is σ = 182784. Its totient is φ = 32400.

The previous prime is 83459. The next prime is 83471. The reversal of 83468 is 86438.

It is a self number, because there is not a number n which added to its sum of digits gives 83468.

It is an unprimeable number.

83468 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, 173 + ... + 443.

It is an arithmetic number, because the mean of its divisors is an integer number (7616).

2⁸³⁴⁶⁸ 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 83468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91392).

83468 is an abundant number, since it is smaller than the sum of its proper divisors (99316).

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

83468 is a wasteful number, since it uses less digits than its factorization.

83468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 291 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 83468 is about 288.9082899468. The cubic root of 83468 is about 43.7025390080.

The spelling of 83468 in words is "eighty-three thousand, four hundred sixty-eight".