820960 has 48 divisors (see below), whose sum is σ = 2219616. Its totient is φ = 281088.

The previous prime is 820957. The next prime is 820969. The reversal of 820960 is 69028.

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 754 + ... + 1486.

It is an arithmetic number, because the mean of its divisors is an integer number (46242).

2⁸²⁰⁹⁶⁰ is an apocalyptic number.

820960 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 820960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109808).

820960 is an abundant number, since it is smaller than the sum of its proper divisors (1398656).

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

820960 is a wasteful number, since it uses less digits than its factorization.

820960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 820960 is about 906.0684300868. The cubic root of 820960 is about 93.6355284318.

Adding to 820960 its reverse (69028), we get a palindrome (889988).

The spelling of 820960 in words is "eight hundred twenty thousand, nine hundred sixty".