80960 has 56 divisors (see below), whose sum is σ = 219456. Its totient is φ = 28160.

The previous prime is 80953. The next prime is 80963. The reversal of 80960 is 6908.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (80963) by changing a digit.

80960 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, 3509 + ... + 3531.

2⁸⁰⁹⁶⁰ is an apocalyptic number.

80960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109728).

80960 is an abundant number, since it is smaller than the sum of its proper divisors (138496).

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

80960 is a wasteful number, since it uses less digits than its factorization.

80960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 80960 is about 284.5347079005. The cubic root of 80960 is about 43.2603637164.

The spelling of 80960 in words is "eighty thousand, nine hundred sixty".