80610 has 16 divisors (see below), whose sum is σ = 193536. Its totient is φ = 21488.

The previous prime is 80603. The next prime is 80611. The reversal of 80610 is 1608.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 80610.

It is not an unprimeable number, because it can be changed into a prime (80611) by changing a digit.

80610 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, 1314 + ... + 1373.

It is an arithmetic number, because the mean of its divisors is an integer number (12096).

2⁸⁰⁶¹⁰ is an apocalyptic number.

80610 is an abundant number, since it is smaller than the sum of its proper divisors (112926).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96768).

80610 is a wasteful number, since it uses less digits than its factorization.

80610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 80610 is about 283.9190025342. The cubic root of 80610 is about 43.1979337146.

The spelling of 80610 in words is "eighty thousand, six hundred ten".