820260 has 144 divisors (see below), whose sum is σ = 3064320. Its totient is φ = 181440.

The previous prime is 820247. The next prime is 820271. The reversal of 820260 is 62028.

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

It is an Ulam number.

It is a nialpdrome in base 7.

It is a congruent number.

It is an unprimeable number.

820260 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 47 ways as a sum of consecutive naturals, for example, 26445 + ... + 26475.

It is an arithmetic number, because the mean of its divisors is an integer number (21280).

2⁸²⁰²⁶⁰ 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 820260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532160).

820260 is an abundant number, since it is smaller than the sum of its proper divisors (2244060).

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

820260 is a wasteful number, since it uses less digits than its factorization.

820260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 48 counting only the distinct ones).

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

The square root of 820260 is about 905.6820634196. The cubic root of 820260 is about 93.6089077650.

Adding to 820260 its reverse (62028), we get a palindrome (882288).

The spelling of 820260 in words is "eight hundred twenty thousand, two hundred sixty".