820296 has 24 divisors (see below), whose sum is σ = 2221830. Its totient is φ = 273408.

The previous prime is 820279. The next prime is 820319. The reversal of 820296 is 692028.

It can be written as a sum of positive squares in only one way, i.e., 617796 + 202500 = 786^2 + 450^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

820296 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 5 ways as a sum of consecutive naturals, for example, 5625 + ... + 5768.

2⁸²⁰²⁹⁶ is an apocalyptic number.

It is an amenable number.

820296 is an abundant number, since it is smaller than the sum of its proper divisors (1401534).

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

820296 is a wasteful number, since it uses less digits than its factorization.

820296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11405 (or 11398 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 820296 is about 905.7019377257. The cubic root of 820296 is about 93.6102771972.

The spelling of 820296 in words is "eight hundred twenty thousand, two hundred ninety-six".