80948 has 24 divisors (see below), whose sum is σ = 168000. Its totient is φ = 34104.

The previous prime is 80933. The next prime is 80953. The reversal of 80948 is 84908.

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 80948.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 80948.

It is an unprimeable number.

80948 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, 1343 + ... + 1401.

It is an arithmetic number, because the mean of its divisors is an integer number (7000).

2⁸⁰⁹⁴⁸ 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 80948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84000).

80948 is an abundant number, since it is smaller than the sum of its proper divisors (87052).

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

80948 is a wasteful number, since it uses less digits than its factorization.

80948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 80948 is about 284.5136200606. The cubic root of 80948 is about 43.2582262411.

The spelling of 80948 in words is "eighty thousand, nine hundred forty-eight".