80640 has 108 divisors (see below), whose sum is σ = 318864. Its totient is φ = 18432.

The previous prime is 80629. The next prime is 80651. The reversal of 80640 is 4608.

It is a Jordan-Polya number, since it can be written as 8! ⋅ 2!.

It is an interprime number because it is at equal distance from previous prime (80629) and next prime (80651).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is an unprimeable number.

80640 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 11 ways as a sum of consecutive naturals, for example, 11517 + ... + 11523.

2⁸⁰⁶⁴⁰ is an apocalyptic number.

80640 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 80640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159432).

80640 is an abundant number, since it is smaller than the sum of its proper divisors (238224).

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

80640 is a wasteful number, since it uses less digits than its factorization.

80640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 80640 is about 283.9718295888. The cubic root of 80640 is about 43.2032919302.

The spelling of 80640 in words is "eighty thousand, six hundred forty".